Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352h |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-679024 = -1 · 24 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 0 -1 5 4 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7,39] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:37:8] |
Generators of the group modulo torsion |
j |
2370816/42439 |
j-invariant |
L |
5.3599903013214 |
L(r)(E,1)/r! |
Ω |
2.1376216626431 |
Real period |
R |
1.2537275409845 |
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 |
4588g1 73408t1 |
Quadratic twists by: -4 8 |