Atkin-Lehner |
2+ 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558l |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-29353632 = -1 · 25 · 3 · 7 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,75,-51] |
[a1,a2,a3,a4,a6] |
Generators |
[11:42:1] |
Generators of the group modulo torsion |
j |
377609375/242592 |
j-invariant |
L |
3.2416037361284 |
L(r)(E,1)/r! |
Ω |
1.1998886773847 |
Real period |
R |
1.3507935324349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558cf1 |
Quadratic twists by: -11 |