Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
37210d |
Isogeny class |
Conductor |
37210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-30482432000 = -1 · 216 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 -2 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,522,-7163] |
[a1,a2,a3,a4,a6] |
j |
4235018391/8192000 |
j-invariant |
L |
9.8158618075094 |
L(r)(E,1)/r! |
Ω |
0.61349136296942 |
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 |
37210a1 |
Quadratic twists by: 61 |