Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440ca |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90048 |
Modular degree for the optimal curve |
Δ |
-87376423680 = -1 · 28 · 37 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3985,99205] |
[a1,a2,a3,a4,a6] |
j |
-11388998656/142155 |
j-invariant |
L |
2.1597660063412 |
L(r)(E,1)/r! |
Ω |
1.079883003631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440co1 |
Quadratic twists by: -7 |