Atkin-Lehner |
2+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760f |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-1129184000 = -1 · 28 · 53 · 7 · 712 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -5 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15508,-743332] |
[a1,a2,a3,a4,a6] |
Generators |
[6408704294235243:-105265684229264623:19742108068683] |
Generators of the group modulo torsion |
j |
-1611206197853184/4410875 |
j-invariant |
L |
10.379143003899 |
L(r)(E,1)/r! |
Ω |
0.2139097300235 |
Real period |
R |
24.260567770243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880a1 |
Quadratic twists by: -4 |