Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512g |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
178752 |
Modular degree for the optimal curve |
Δ |
-7463710913904 = -1 · 24 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166812,-26279415] |
[a1,a2,a3,a4,a6] |
Generators |
[480:2115:1] |
Generators of the group modulo torsion |
j |
-5565496077568/80919 |
j-invariant |
L |
7.7024010994831 |
L(r)(E,1)/r! |
Ω |
0.1181169273463 |
Real period |
R |
4.6578548855444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024c1 43512e1 |
Quadratic twists by: -4 -7 |