Atkin-Lehner |
2+ 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296d |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
3003142538448 = 24 · 34 · 135 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123527,-16669242] |
[a1,a2,a3,a4,a6] |
j |
13028455316679006208/187696408653 |
j-invariant |
L |
2.2919317075103 |
L(r)(E,1)/r! |
Ω |
0.25465907869561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648m1 |
Quadratic twists by: -4 |