Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310a |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1180287062528000 = -1 · 212 · 53 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25112,-611008] |
[a1,a2,a3,a4,a6] |
j |
35739174545711399/24087491072000 |
j-invariant |
L |
1.1061383770621 |
L(r)(E,1)/r! |
Ω |
0.27653459426553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480bp2 83790fa2 46550bx2 9310f2 |
Quadratic twists by: -4 -3 5 -7 |