Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336c |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
91346833525948416 = 214 · 321 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146609,-15932463] |
[a1,a2,a3,a4,a6] |
Generators |
[-1184776077:4147456256:9663597] |
Generators of the group modulo torsion |
j |
21271035361447888/5575368257199 |
j-invariant |
L |
7.8600520693805 |
L(r)(E,1)/r! |
Ω |
0.24873139176762 |
Real period |
R |
15.800281575007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336cc1 6396f1 |
Quadratic twists by: -4 8 |