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 |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
787548047940000000 = 28 · 33 · 57 · 196 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-916713,334739031] |
[a1,a2,a3,a4,a6] |
Generators |
[605:1122:1] [-345:24872:1] |
Generators of the group modulo torsion |
j |
5452603101023584969/50403075068160 |
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 |
17670c1 |
Quadratic twists by: 5 |