Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bh |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-121693482913572864 = -1 · 211 · 34 · 712 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458656,-120883372] |
[a1,a2,a3,a4,a6] |
j |
-44286127310882/505067157 |
j-invariant |
L |
2.9332750189026 |
L(r)(E,1)/r! |
Ω |
0.091664812508094 |
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 |
62328bd1 17808d1 |
Quadratic twists by: -4 -7 |