Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850bk |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-790294101300 = -1 · 22 · 310 · 52 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12132,519156] |
[a1,a2,a3,a4,a6] |
Generators |
[78:168:1] |
Generators of the group modulo torsion |
j |
-10836112768105/43363188 |
j-invariant |
L |
4.5366515466102 |
L(r)(E,1)/r! |
Ω |
0.89983585466363 |
Real period |
R |
0.42013695087794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950cu1 113850fl1 |
Quadratic twists by: -3 5 |