Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
6060b |
Isogeny class |
Conductor |
6060 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
-17670960 = -1 · 24 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 6 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561,5310] |
[a1,a2,a3,a4,a6] |
Generators |
[14:2:1] |
Generators of the group modulo torsion |
j |
-1222548865024/1104435 |
j-invariant |
L |
3.5225114153621 |
L(r)(E,1)/r! |
Ω |
2.1725066563015 |
Real period |
R |
1.6214041992207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24240bj1 96960bk1 18180d1 30300n1 |
Quadratic twists by: -4 8 -3 5 |