Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7448s |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-11190986905178416 = -1 · 24 · 710 · 195 |
Discriminant |
Eigenvalues |
2- 2 1 7- -1 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180875,-29982532] |
[a1,a2,a3,a4,a6] |
Generators |
[3880865611594183:5540951303353761:7869911564971] |
Generators of the group modulo torsion |
j |
-144797599744/2476099 |
j-invariant |
L |
6.0256535631303 |
L(r)(E,1)/r! |
Ω |
0.11563355358491 |
Real period |
R |
26.05495280704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14896u1 59584bl1 67032t1 7448n1 |
Quadratic twists by: -4 8 -3 -7 |