Atkin-Lehner |
2- 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bj |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
153890635937500000 = 25 · 511 · 7 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-93331380,-347024743753] |
[a1,a2,a3,a4,a6] |
Generators |
[315345:176841853:1] |
Generators of the group modulo torsion |
j |
5754223732026059761026249/9849000700000 |
j-invariant |
L |
9.1795517514602 |
L(r)(E,1)/r! |
Ω |
0.048572743402767 |
Real period |
R |
9.449282817181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999554205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870e2 |
Quadratic twists by: 5 |