Atkin-Lehner |
2- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
80752t |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-155654423314432 = -1 · 218 · 78 · 103 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12952,821652] |
[a1,a2,a3,a4,a6] |
j |
-498677257/323008 |
j-invariant |
L |
2.1309423382062 |
L(r)(E,1)/r! |
Ω |
0.53273559918184 |
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 |
10094b1 11536e1 |
Quadratic twists by: -4 -7 |