Atkin-Lehner |
2- 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
37332c |
Isogeny class |
Conductor |
37332 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-79412469156820224 = -1 · 28 · 36 · 178 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -3 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2169,13558158] |
[a1,a2,a3,a4,a6] |
Generators |
[5106:132651:8] |
Generators of the group modulo torsion |
j |
6046929072/425521203901 |
j-invariant |
L |
7.2528168267346 |
L(r)(E,1)/r! |
Ω |
0.27134623701639 |
Real period |
R |
1.6705632503151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4148a1 |
Quadratic twists by: -3 |