Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342x |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
76451038362496 = 27 · 79 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3 3 7- -2 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10716,-70241] |
[a1,a2,a3,a4,a6] |
j |
1156633033473/649823104 |
j-invariant |
L |
14.133057666094 |
L(r)(E,1)/r! |
Ω |
0.50475206111881 |
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 |
10906o1 |
Quadratic twists by: -7 |