Atkin-Lehner |
2+ 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23870b |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
334180 = 22 · 5 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40,-84] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
7177888089/334180 |
j-invariant |
L |
2.4228311265173 |
L(r)(E,1)/r! |
Ω |
1.9016360214089 |
Real period |
R |
1.2740772152193 |
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 |
119350bt1 |
Quadratic twists by: 5 |