Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
125424q |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-70221385728 = -1 · 212 · 39 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3891,-94286] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1062:1] |
Generators of the group modulo torsion |
j |
-2181825073/23517 |
j-invariant |
L |
3.9292720373362 |
L(r)(E,1)/r! |
Ω |
0.30204752625268 |
Real period |
R |
3.2521967870859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7839a1 41808l1 |
Quadratic twists by: -4 -3 |