Atkin-Lehner |
2- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
80752s |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-198538805248 = -1 · 214 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1160,-15504] |
[a1,a2,a3,a4,a6] |
j |
357911/412 |
j-invariant |
L |
2.1635559464514 |
L(r)(E,1)/r! |
Ω |
0.54088898201995 |
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 |
10094d1 1648a1 |
Quadratic twists by: -4 -7 |