Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230ed |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-50940697500 = -1 · 22 · 37 · 54 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1607,-26661] |
[a1,a2,a3,a4,a6] |
j |
-472729139/52500 |
j-invariant |
L |
2.9975546174092 |
L(r)(E,1)/r! |
Ω |
0.37469433165283 |
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 |
25410b1 76230cc1 |
Quadratic twists by: -3 -11 |