Atkin-Lehner |
2+ 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870c |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
984900070 = 2 · 5 · 7 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295,1311] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:48:1] [17:23:1] |
Generators of the group modulo torsion |
j |
2844576388809/984900070 |
j-invariant |
L |
5.5592218524085 |
L(r)(E,1)/r! |
Ω |
1.4367248965363 |
Real period |
R |
3.8693711411362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350bc2 |
Quadratic twists by: 5 |