Atkin-Lehner |
2+ 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15352a |
Isogeny class |
Conductor |
15352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40368 |
Modular degree for the optimal curve |
Δ |
5951018576 = 24 · 192 · 1013 |
Discriminant |
Eigenvalues |
2+ -2 2 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-343427,77349610] |
[a1,a2,a3,a4,a6] |
Generators |
[813:18335:1] |
Generators of the group modulo torsion |
j |
279967940390805956608/371938661 |
j-invariant |
L |
3.9020203443318 |
L(r)(E,1)/r! |
Ω |
0.85836132734692 |
Real period |
R |
4.5458948580459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30704a1 122816c1 |
Quadratic twists by: -4 8 |