Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cu |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
-616212568473600000 = -1 · 225 · 3 · 55 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1907056,1014206720] |
[a1,a2,a3,a4,a6] |
Generators |
[736:2704:1] |
Generators of the group modulo torsion |
j |
-2740960144799690209/2202009600000 |
j-invariant |
L |
11.905282693231 |
L(r)(E,1)/r! |
Ω |
0.28696024579944 |
Real period |
R |
1.6595027123176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090dg1 |
Quadratic twists by: -23 |