Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440v |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-944701440 = -1 · 216 · 3 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-656,6420] |
[a1,a2,a3,a4,a6] |
j |
-7633736209/230640 |
j-invariant |
L |
3.1257237203479 |
L(r)(E,1)/r! |
Ω |
1.5628618601739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930k1 29760cb1 22320ce1 37200bx1 |
Quadratic twists by: -4 8 -3 5 |