Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bi |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-175763689841885184 = -1 · 220 · 33 · 133 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428139,-109696870] |
[a1,a2,a3,a4,a6] |
Generators |
[22676345:69468350:29791] |
Generators of the group modulo torsion |
j |
-78479164538849619/1589298410752 |
j-invariant |
L |
7.7763550704916 |
L(r)(E,1)/r! |
Ω |
0.093207808961648 |
Real period |
R |
10.428786973739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9594n1 76752bb1 |
Quadratic twists by: -4 -3 |