Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bc |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
141403340143371600 = 24 · 39 · 52 · 7 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-374708,86505031] |
[a1,a2,a3,a4,a6] |
Generators |
[61:7961:1] |
Generators of the group modulo torsion |
j |
295603947373958523/7184033945200 |
j-invariant |
L |
7.2078625930305 |
L(r)(E,1)/r! |
Ω |
0.32622242103205 |
Real period |
R |
0.92062221564296 |
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 |
23310c2 116550e2 |
Quadratic twists by: -3 5 |