Atkin-Lehner |
2- 3+ 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
39390m |
Isogeny class |
Conductor |
39390 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
-7865395200 = -1 · 211 · 32 · 52 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -4 13- -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,299,3899] |
[a1,a2,a3,a4,a6] |
Generators |
[19:120:1] [-7:42:1] |
Generators of the group modulo torsion |
j |
2955605685551/7865395200 |
j-invariant |
L |
10.37249760589 |
L(r)(E,1)/r! |
Ω |
0.92157426881799 |
Real period |
R |
0.12789993705794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118170l1 |
Quadratic twists by: -3 |