Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376l |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
261112430592 = 215 · 32 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12129,-509535] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:24:1] |
Generators of the group modulo torsion |
j |
6022607645384/7968519 |
j-invariant |
L |
4.1637428869366 |
L(r)(E,1)/r! |
Ω |
0.45496168917723 |
Real period |
R |
1.1439817313353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376v4 38688b4 |
Quadratic twists by: -4 8 |