Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400be |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-139494780100000000 = -1 · 28 · 58 · 136 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-307908,-68276312] |
[a1,a2,a3,a4,a6] |
Generators |
[4635336:440223875:512] |
Generators of the group modulo torsion |
j |
-807101305253584/34873695025 |
j-invariant |
L |
2.8477327379593 |
L(r)(E,1)/r! |
Ω |
0.10108061393428 |
Real period |
R |
7.043221832984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22100e2 17680i2 |
Quadratic twists by: -4 5 |