Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634u |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1910709993959424 = -1 · 212 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64836,-6677168] |
[a1,a2,a3,a4,a6] |
Generators |
[639:14258:1] |
Generators of the group modulo torsion |
j |
-351447414193/22278144 |
j-invariant |
L |
4.4711307142526 |
L(r)(E,1)/r! |
Ω |
0.14904793058758 |
Real period |
R |
3.7497423619253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878bd1 4662g1 |
Quadratic twists by: -3 -7 |