Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7360l |
Isogeny class |
Conductor |
7360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-588800 = -1 · 210 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 0 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
340736/575 |
j-invariant |
L |
3.2482875290552 |
L(r)(E,1)/r! |
Ω |
1.9855871677644 |
Real period |
R |
0.81796648915507 |
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 |
7360v1 920c1 66240bh1 36800f1 |
Quadratic twists by: -4 8 -3 5 |