Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925g |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
417586943672325 = 35 · 52 · 74 · 315 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -5 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24893,1137926] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-548:1] [-218:10829:8] |
Generators of the group modulo torsion |
j |
28420018162585/6956883693 |
j-invariant |
L |
6.0670121714072 |
L(r)(E,1)/r! |
Ω |
0.49845287263509 |
Real period |
R |
0.8114457754148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925cq1 113925ca1 |
Quadratic twists by: 5 -7 |