Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798a |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-893371720085648 = -1 · 24 · 239 · 31 |
Discriminant |
Eigenvalues |
2+ 1 0 1 0 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23529,-369654] |
[a1,a2,a3,a4,a6] |
Generators |
[4695:91752:125] |
Generators of the group modulo torsion |
j |
9731810375/6034832 |
j-invariant |
L |
5.1981369135958 |
L(r)(E,1)/r! |
Ω |
0.28765950565844 |
Real period |
R |
4.517612673443 |
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 |
1426c1 |
Quadratic twists by: -23 |