Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950gv |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-6028018210659375000 = -1 · 23 · 39 · 58 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,428112,48442281] |
[a1,a2,a3,a4,a6] |
Generators |
[1143990:44560523:1000] |
Generators of the group modulo torsion |
j |
188819819375/131167512 |
j-invariant |
L |
9.0823180806897 |
L(r)(E,1)/r! |
Ω |
0.15114558476297 |
Real period |
R |
10.014977725339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950cp1 17850ch1 |
Quadratic twists by: 5 -7 |