Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600s |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-306656000 = -1 · 28 · 53 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -3 5 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4593,121357] |
[a1,a2,a3,a4,a6] |
Generators |
[36:37:1] |
Generators of the group modulo torsion |
j |
-334932755456/9583 |
j-invariant |
L |
5.2341805985979 |
L(r)(E,1)/r! |
Ω |
1.6031477145511 |
Real period |
R |
0.81623492589118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999516277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800i1 103600v1 |
Quadratic twists by: -4 5 |