Atkin-Lehner |
11- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92807d |
Isogeny class |
Conductor |
92807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
14946660157 = 117 · 13 · 59 |
Discriminant |
Eigenvalues |
2 1 -4 -1 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7300,-242445] |
[a1,a2,a3,a4,a6] |
Generators |
[-48990:1799:1000] |
Generators of the group modulo torsion |
j |
24288219136/8437 |
j-invariant |
L |
8.8234714573352 |
L(r)(E,1)/r! |
Ω |
0.5165031038664 |
Real period |
R |
4.2707736810512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8437a1 |
Quadratic twists by: -11 |