Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37700c |
Isogeny class |
Conductor |
37700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
177661250000 = 24 · 57 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6800,-214875] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:26:1] |
Generators of the group modulo torsion |
j |
139094654976/710645 |
j-invariant |
L |
4.2591125548447 |
L(r)(E,1)/r! |
Ω |
0.52590329243543 |
Real period |
R |
2.0246652835733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540d1 |
Quadratic twists by: 5 |