Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490v |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35712000 |
Modular degree for the optimal curve |
Δ |
-2.2406588295338E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -1 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124848495,-583208114675] |
[a1,a2,a3,a4,a6] |
Generators |
[703006728645425295478783360210705902655:490003444970190338344542025165603157762110:1444194114881242275670495038122699] |
Generators of the group modulo torsion |
j |
-360187951921/37500000 |
j-invariant |
L |
5.3605531768347 |
L(r)(E,1)/r! |
Ω |
0.022450381728374 |
Real period |
R |
59.693341094283 |
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 |
28830bg1 86490p1 |
Quadratic twists by: -3 -31 |