Atkin-Lehner |
2+ 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37518c |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-328207464 = -1 · 23 · 38 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-276,-2088] |
[a1,a2,a3,a4,a6] |
Generators |
[2292:10923:64] |
Generators of the group modulo torsion |
j |
-13836319393/1942056 |
j-invariant |
L |
5.1173816466754 |
L(r)(E,1)/r! |
Ω |
0.58085479290274 |
Real period |
R |
4.405043832988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554w1 37518p1 |
Quadratic twists by: -3 13 |