Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320w |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-894375000000 = -1 · 26 · 33 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2913,-75712] |
[a1,a2,a3,a4,a6] |
Generators |
[78805:1971116:125] |
Generators of the group modulo torsion |
j |
-1581981599808/517578125 |
j-invariant |
L |
5.9888151241135 |
L(r)(E,1)/r! |
Ω |
0.31960991080511 |
Real period |
R |
9.3689446427036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320v1 76320d1 |
Quadratic twists by: -4 -3 |