Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94656z |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2745024 = -1 · 26 · 3 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 3 -7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,213] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:21:1] |
Generators of the group modulo torsion |
j |
-575930368/42891 |
j-invariant |
L |
11.975417300963 |
L(r)(E,1)/r! |
Ω |
2.50609541523 |
Real period |
R |
2.3892580506088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656bl1 1479c1 |
Quadratic twists by: -4 8 |