Atkin-Lehner |
2- 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630m |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-77868000 = -1 · 25 · 33 · 53 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161,-961] |
[a1,a2,a3,a4,a6] |
j |
-461710681489/77868000 |
j-invariant |
L |
3.319939235004 |
L(r)(E,1)/r! |
Ω |
0.66398784700081 |
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 |
64890bn1 108150y1 |
Quadratic twists by: -3 5 |