Atkin-Lehner |
2+ 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101592d |
Isogeny class |
Conductor |
101592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
6316411891968 = 28 · 36 · 173 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15735,750026] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:1224:1] |
Generators of the group modulo torsion |
j |
2308641298000/33845657 |
j-invariant |
L |
6.4257180008928 |
L(r)(E,1)/r! |
Ω |
0.75503650690847 |
Real period |
R |
1.418412210575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11288b1 |
Quadratic twists by: -3 |