Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850bh |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2480640 |
Modular degree for the optimal curve |
Δ |
-7790618880000000000 = -1 · 217 · 37 · 510 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,50508,134206416] |
[a1,a2,a3,a4,a6] |
Generators |
[11270:432517:8] |
Generators of the group modulo torsion |
j |
2001574775/1094320128 |
j-invariant |
L |
5.5927600717454 |
L(r)(E,1)/r! |
Ω |
0.18221979232291 |
Real period |
R |
7.6730963249792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950ct1 113850fj1 |
Quadratic twists by: -3 5 |