Atkin-Lehner |
2+ 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854b |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
231607799808 = 212 · 3 · 72 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 11+ -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3713,-85515] |
[a1,a2,a3,a4,a6] |
j |
5663453071972249/231607799808 |
j-invariant |
L |
1.2262455035517 |
L(r)(E,1)/r! |
Ω |
0.61312275177583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832cb1 23562bb1 54978w1 86394ce1 |
Quadratic twists by: -4 -3 -7 -11 |