Atkin-Lehner |
3+ 5+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
118275a |
Isogeny class |
Conductor |
118275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1317120 |
Modular degree for the optimal curve |
Δ |
-9781993677796875 = -1 · 314 · 56 · 19 · 832 |
Discriminant |
Eigenvalues |
0 3+ 5+ 5 -3 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-113283,15465593] |
[a1,a2,a3,a4,a6] |
Generators |
[-387:1093:1] |
Generators of the group modulo torsion |
j |
-10289677060440064/626047595379 |
j-invariant |
L |
4.0677193886994 |
L(r)(E,1)/r! |
Ω |
0.40243178985126 |
Real period |
R |
2.5269620164255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4731c1 |
Quadratic twists by: 5 |