Atkin-Lehner |
2+ 5- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23870i |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5046595400 = 23 · 52 · 7 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8897578,-10216151052] |
[a1,a2,a3,a4,a6] |
Generators |
[800178:18510773:216] |
Generators of the group modulo torsion |
j |
77900286278006500043214361/5046595400 |
j-invariant |
L |
3.1947991187421 |
L(r)(E,1)/r! |
Ω |
0.087414123960052 |
Real period |
R |
12.182619825457 |
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 |
119350bm4 |
Quadratic twists by: 5 |