Atkin-Lehner |
3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247f |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
1453312107029097 = 37 · 7 · 377 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-203553,-35249504] |
[a1,a2,a3,a4,a6] |
Generators |
[90740:3170411:64] [15996:186394:27] |
Generators of the group modulo torsion |
j |
498677257/777 |
j-invariant |
L |
10.561460343719 |
L(r)(E,1)/r! |
Ω |
0.22478675551791 |
Real period |
R |
23.492176662227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28749a1 2331b1 |
Quadratic twists by: -3 37 |