Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312cc |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-2505145597820928 = -1 · 219 · 317 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -1 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9780,2379152] |
[a1,a2,a3,a4,a6] |
j |
541343375/13108878 |
j-invariant |
L |
1.372373844375 |
L(r)(E,1)/r! |
Ω |
0.34309346109375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312t1 5328p1 7104r1 |
Quadratic twists by: -4 8 -3 |