Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200a |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-603267750000 = -1 · 24 · 34 · 56 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3508,-87113] |
[a1,a2,a3,a4,a6] |
Generators |
[10955:65061:125] |
Generators of the group modulo torsion |
j |
-19102326016/2413071 |
j-invariant |
L |
4.2664917377264 |
L(r)(E,1)/r! |
Ω |
0.30799107519297 |
Real period |
R |
6.9263236524861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18600l1 111600bb1 1488d1 |
Quadratic twists by: -4 -3 5 |