Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120i |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
154310059065600000 = 211 · 314 · 55 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1182747,494731114] |
[a1,a2,a3,a4,a6] |
Generators |
[543:3550:1] |
Generators of the group modulo torsion |
j |
122558037185240498/103356253125 |
j-invariant |
L |
7.1344616898663 |
L(r)(E,1)/r! |
Ω |
0.32224786734666 |
Real period |
R |
1.1069835385739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25560o2 17040h2 |
Quadratic twists by: -4 -3 |