Atkin-Lehner |
2- 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37740h |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
392254313040 = 24 · 36 · 5 · 173 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8521,298424] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:612:1] |
Generators of the group modulo torsion |
j |
4276873371172864/24515894565 |
j-invariant |
L |
4.6874768626401 |
L(r)(E,1)/r! |
Ω |
0.95449738246826 |
Real period |
R |
1.6369791224639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113220m1 |
Quadratic twists by: -3 |