Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800s |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-27378670000 = -1 · 24 · 54 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 11+ -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583,-9438] |
[a1,a2,a3,a4,a6] |
Generators |
[94038:269655:2744] |
Generators of the group modulo torsion |
j |
-2195200000/2737867 |
j-invariant |
L |
11.294682967232 |
L(r)(E,1)/r! |
Ω |
0.46385954010289 |
Real period |
R |
8.116453356482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400j1 74800d1 |
Quadratic twists by: -4 5 |