Atkin-Lehner |
2- 3+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cc |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
30032517318750000 = 24 · 36 · 58 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14634713,21542767031] |
[a1,a2,a3,a4,a6] |
Generators |
[-35250:197171:8] [2201:-512:1] |
Generators of the group modulo torsion |
j |
22184840864531978453449/1922081108400 |
j-invariant |
L |
13.383148131212 |
L(r)(E,1)/r! |
Ω |
0.28463343924312 |
Real period |
R |
0.97956019085788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670c2 |
Quadratic twists by: 5 |