Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950l |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-810843750000 = -1 · 24 · 33 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15492,-739584] |
[a1,a2,a3,a4,a6] |
Generators |
[268:3648:1] |
Generators of the group modulo torsion |
j |
-7797729087/15376 |
j-invariant |
L |
2.924746994259 |
L(r)(E,1)/r! |
Ω |
0.21393904602663 |
Real period |
R |
3.4177339861268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600dd1 13950cb1 13950ca1 |
Quadratic twists by: -4 -3 5 |