Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18368l |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
32915456 = 214 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2684,53520] |
[a1,a2,a3,a4,a6] |
Generators |
[32:20:1] |
Generators of the group modulo torsion |
j |
130512259152/2009 |
j-invariant |
L |
5.7818271757679 |
L(r)(E,1)/r! |
Ω |
1.8990632452511 |
Real period |
R |
1.5222839971829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18368v1 2296b1 128576m1 |
Quadratic twists by: -4 8 -7 |