Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310a |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-509760 = -1 · 26 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,45] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] [-2:9:1] |
Generators of the group modulo torsion |
j |
-14348907/18880 |
j-invariant |
L |
3.3729695311746 |
L(r)(E,1)/r! |
Ω |
2.6507822401258 |
Real period |
R |
0.31811077123913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480t1 5310k1 26550bn1 |
Quadratic twists by: -4 -3 5 |