Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450df |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-89981180920800 = -1 · 25 · 311 · 52 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10300,212807] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-1085:1] |
Generators of the group modulo torsion |
j |
6631432874015/4937239008 |
j-invariant |
L |
12.121283527409 |
L(r)(E,1)/r! |
Ω |
0.38538048387676 |
Real period |
R |
0.26210641212103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150r1 99450bm1 |
Quadratic twists by: -3 5 |