Atkin-Lehner |
2- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384o |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-1131531302899712 = -1 · 212 · 113 · 136 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 0 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47432,-4277072] |
[a1,a2,a3,a4,a6] |
j |
-2881291727232073/276252759497 |
j-invariant |
L |
1.9305141251054 |
L(r)(E,1)/r! |
Ω |
0.16087616699671 |
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 |
6149a1 |
Quadratic twists by: -4 |