Atkin-Lehner |
2+ 5- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23870f |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-42432839680 = -1 · 214 · 5 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,803,4989] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1361:27] |
Generators of the group modulo torsion |
j |
57151154952359/42432839680 |
j-invariant |
L |
5.6991501279398 |
L(r)(E,1)/r! |
Ω |
0.72934667933607 |
Real period |
R |
3.9070241144635 |
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 |
119350bs1 |
Quadratic twists by: 5 |