Atkin-Lehner |
2- 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
88396b |
Isogeny class |
Conductor |
88396 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
775656 |
Modular degree for the optimal curve |
Δ |
-8461238335658416 = -1 · 24 · 78 · 113 · 413 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11+ 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69057,8245936] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:3479:1] |
Generators of the group modulo torsion |
j |
-394865164288/91733851 |
j-invariant |
L |
3.5415447992617 |
L(r)(E,1)/r! |
Ω |
0.39445344830632 |
Real period |
R |
2.9927864522596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741555 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88396c1 |
Quadratic twists by: -7 |