Atkin-Lehner |
2+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378j |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-32851810710656 = -1 · 27 · 73 · 176 · 31 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1620,-277038] |
[a1,a2,a3,a4,a6] |
j |
-469767891354553/32851810710656 |
j-invariant |
L |
0.57844161069365 |
L(r)(E,1)/r! |
Ω |
0.28922080534682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59024n1 66402bs1 51646e1 125426a1 |
Quadratic twists by: -4 -3 -7 17 |