Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310c |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-709789824000 = -1 · 210 · 33 · 53 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15054,715860] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1002:1] |
Generators of the group modulo torsion |
j |
-13974359467794363/26288512000 |
j-invariant |
L |
2.9663228251951 |
L(r)(E,1)/r! |
Ω |
0.90435001478703 |
Real period |
R |
0.82001514255896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42480w1 5310i2 26550bl1 |
Quadratic twists by: -4 -3 5 |