Atkin-Lehner |
2- 3+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
75696f |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
1646989934592 = 222 · 3 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130720,-18147584] |
[a1,a2,a3,a4,a6] |
j |
60310538199269281/402097152 |
j-invariant |
L |
0.50216212788837 |
L(r)(E,1)/r! |
Ω |
0.25108105322908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9462c1 |
Quadratic twists by: -4 |