Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648bh |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-49936554631563264 = -1 · 211 · 323 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143211,-23467642] |
[a1,a2,a3,a4,a6] |
Generators |
[31456981209516374:694070171787108726:43217683949357] |
Generators of the group modulo torsion |
j |
-217568172289106/33447302217 |
j-invariant |
L |
6.4954702367484 |
L(r)(E,1)/r! |
Ω |
0.12167761240326 |
Real period |
R |
26.691312018932 |
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 |
37296s1 6216h1 |
Quadratic twists by: -4 -3 |