Atkin-Lehner |
2- 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630n |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
9.435634344635E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36923436,-72634149111] |
[a1,a2,a3,a4,a6] |
j |
5567113024874907029745617089/943563434463500976562500 |
j-invariant |
L |
3.4693440773083 |
L(r)(E,1)/r! |
Ω |
0.061952572809077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64890bo1 108150z1 |
Quadratic twists by: -3 5 |