Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904a |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
213819518261133312 = 228 · 3 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1062052353,-13321571524095] |
[a1,a2,a3,a4,a6] |
Generators |
[15431393388668288847914385088228207434126950745891921459271201:-29745517348586206382211664579952745108268217370508689899142332416:4152778236452702350897452024863345254493641402975980449] |
Generators of the group modulo torsion |
j |
505384091400037554067434625/815656731648 |
j-invariant |
L |
5.0334037762489 |
L(r)(E,1)/r! |
Ω |
0.026446187535099 |
Real period |
R |
95.163126434939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904cs3 1122m3 107712cc3 |
Quadratic twists by: -4 8 -3 |