Atkin-Lehner |
2- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37100n |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6021793750000 = -1 · 24 · 58 · 73 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -5 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4542,-6287] |
[a1,a2,a3,a4,a6] |
Generators |
[2:53:1] [108:1325:1] |
Generators of the group modulo torsion |
j |
1657637120/963487 |
j-invariant |
L |
5.8506469910831 |
L(r)(E,1)/r! |
Ω |
0.4476268488967 |
Real period |
R |
0.72613147479919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37100f1 |
Quadratic twists by: 5 |