Atkin-Lehner |
2+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
2054c |
Isogeny class |
Conductor |
2054 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-4745706727424 = -1 · 211 · 135 · 792 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 0 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2736,-119552] |
[a1,a2,a3,a4,a6] |
Generators |
[357:6497:1] |
Generators of the group modulo torsion |
j |
-2266313514323977/4745706727424 |
j-invariant |
L |
2.2010122358507 |
L(r)(E,1)/r! |
Ω |
0.30957539328126 |
Real period |
R |
0.71097777265876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16432i1 65728f1 18486bd1 51350r1 |
Quadratic twists by: -4 8 -3 5 |