Atkin-Lehner |
2+ 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
95590g |
Isogeny class |
Conductor |
95590 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-327849046956640000 = -1 · 28 · 54 · 1110 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,46381,27267125] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:4877:1] [289:7902:1] |
Generators of the group modulo torsion |
j |
6228488375199/185062240000 |
j-invariant |
L |
8.3941072017819 |
L(r)(E,1)/r! |
Ω |
0.22945379573463 |
Real period |
R |
4.5728744504327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690h1 |
Quadratic twists by: -11 |