Atkin-Lehner |
2+ 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320a |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1177862400 = 28 · 32 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-956,-10944] |
[a1,a2,a3,a4,a6] |
j |
377843214544/4601025 |
j-invariant |
L |
1.718292156605 |
L(r)(E,1)/r! |
Ω |
0.85914607829878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160f2 102960bt2 |
Quadratic twists by: -4 -3 |