Atkin-Lehner |
2- 7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111622m |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
2656957247071232 = 210 · 76 · 173 · 672 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40034,1828420] |
[a1,a2,a3,a4,a6] |
Generators |
[316:4398:1] [-58:2018:1] |
Generators of the group modulo torsion |
j |
60314690631313/22583763968 |
j-invariant |
L |
10.833276216799 |
L(r)(E,1)/r! |
Ω |
0.41576808625513 |
Real period |
R |
0.86853517420061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2278b1 |
Quadratic twists by: -7 |