Atkin-Lehner |
2+ 5- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23870i |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
588656503531250 = 2 · 56 · 73 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109953,-13993702] |
[a1,a2,a3,a4,a6] |
Generators |
[1624:63150:1] |
Generators of the group modulo torsion |
j |
147007429637804676361/588656503531250 |
j-invariant |
L |
3.1947991187421 |
L(r)(E,1)/r! |
Ω |
0.26224237188016 |
Real period |
R |
4.0608732751524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
119350bm2 |
Quadratic twists by: 5 |