Atkin-Lehner |
2+ 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23870b |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40698350 = 2 · 52 · 7 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110,350] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:30:1] |
Generators of the group modulo torsion |
j |
147951952569/40698350 |
j-invariant |
L |
2.4228311265173 |
L(r)(E,1)/r! |
Ω |
1.9016360214089 |
Real period |
R |
0.63703860760963 |
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 |
119350bt2 |
Quadratic twists by: 5 |