Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760w |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-88776103680 = -1 · 28 · 38 · 5 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1113,1114] |
[a1,a2,a3,a4,a6] |
Generators |
[30:248:1] [99:1040:1] |
Generators of the group modulo torsion |
j |
817036976/475695 |
j-invariant |
L |
11.571597106855 |
L(r)(E,1)/r! |
Ω |
0.64831424961523 |
Real period |
R |
8.9243735695414 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920bf1 |
Quadratic twists by: -3 |