Atkin-Lehner |
2+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950l |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
15002423500 = 22 · 53 · 172 · 473 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -3 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4666,122128] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:431:1] [-13:431:1] |
Generators of the group modulo torsion |
j |
89849175941069/120019388 |
j-invariant |
L |
7.0071274706052 |
L(r)(E,1)/r! |
Ω |
1.2435595992837 |
Real period |
R |
0.2347805805019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950t1 |
Quadratic twists by: 5 |