Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490ch |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
5569768641710407680 = 214 · 35 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1373551,608540213] |
[a1,a2,a3,a4,a6] |
Generators |
[187:18834:1] |
Generators of the group modulo torsion |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
7.6630743575408 |
L(r)(E,1)/r! |
Ω |
0.24074224679757 |
Real period |
R |
0.75788173366775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ct1 2730g1 |
Quadratic twists by: -3 13 |