Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310bj |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9355879376139240 = 23 · 320 · 5 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78908,-7130793] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:1065:1] |
Generators of the group modulo torsion |
j |
74533948968883321/12833853739560 |
j-invariant |
L |
7.0130168831538 |
L(r)(E,1)/r! |
Ω |
0.28820107877264 |
Real period |
R |
2.027813622645 |
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 |
7770f2 116550ca2 |
Quadratic twists by: -3 5 |