Atkin-Lehner |
7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34447g |
Isogeny class |
Conductor |
34447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-63413179088308651 = -1 · 715 · 192 · 37 |
Discriminant |
Eigenvalues |
0 2 -3 7- 3 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-201357,-36760445] |
[a1,a2,a3,a4,a6] |
Generators |
[317695:15743138:125] |
Generators of the group modulo torsion |
j |
-7674283260116992/539003128699 |
j-invariant |
L |
4.3479937328484 |
L(r)(E,1)/r! |
Ω |
0.11223385025452 |
Real period |
R |
9.6851211176217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4921e1 |
Quadratic twists by: -7 |