Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520bj |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1146946740384240 = -1 · 24 · 312 · 5 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187786,-31301369] |
[a1,a2,a3,a4,a6] |
Generators |
[11773:1276479:1] |
Generators of the group modulo torsion |
j |
-45771555926854983424/71684171274015 |
j-invariant |
L |
4.3939657931725 |
L(r)(E,1)/r! |
Ω |
0.11466022619968 |
Real period |
R |
3.8321621522697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19380k1 |
Quadratic twists by: -4 |