Atkin-Lehner |
2+ 3- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238v |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-4446182800098468 = -1 · 22 · 315 · 115 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17217,-3092351] |
[a1,a2,a3,a4,a6] |
Generators |
[116:617:1] |
Generators of the group modulo torsion |
j |
774202257258767/6099016186692 |
j-invariant |
L |
3.4760670206713 |
L(r)(E,1)/r! |
Ω |
0.21652372888272 |
Real period |
R |
4.0134943220706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31746bd1 |
Quadratic twists by: -3 |