Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032bp |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5713920 |
Modular degree for the optimal curve |
Δ |
-2669755109056 = -1 · 26 · 77 · 373 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 5 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40790507,-100260041671] |
[a1,a2,a3,a4,a6] |
j |
-996856898790659465728/354571 |
j-invariant |
L |
1.6129583350361 |
L(r)(E,1)/r! |
Ω |
0.02986962582713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032bw1 58016j1 16576v1 |
Quadratic twists by: -4 8 -7 |