Atkin-Lehner |
3- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84975h |
Isogeny class |
Conductor |
84975 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-53235509765625 = -1 · 37 · 59 · 112 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 11+ -6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2312,348617] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:569:1] [-43:434:1] |
Generators of the group modulo torsion |
j |
87469256519/3407072625 |
j-invariant |
L |
8.2292140433443 |
L(r)(E,1)/r! |
Ω |
0.47702023783464 |
Real period |
R |
0.30805873444129 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16995d1 |
Quadratic twists by: 5 |