Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bh |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12533760 |
Modular degree for the optimal curve |
Δ |
-3.28466796875E+23 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 1 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13586800,33643958000] |
[a1,a2,a3,a4,a6] |
Generators |
[934692609364195892335455:49120667961100462873639225:407211578912103369039] |
Generators of the group modulo torsion |
j |
-4334063657515831296/5132293701171875 |
j-invariant |
L |
12.815866587642 |
L(r)(E,1)/r! |
Ω |
0.087252778957373 |
Real period |
R |
36.720511199714 |
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 |
5425f1 17360bm1 |
Quadratic twists by: -4 5 |