Atkin-Lehner |
2- 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
98294m |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
2411136 |
Modular degree for the optimal curve |
Δ |
339526122280583168 = 223 · 79 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2194907,-1252219991] |
[a1,a2,a3,a4,a6] |
Generators |
[-23127:26642:27] |
Generators of the group modulo torsion |
j |
28979423060820679/8413773824 |
j-invariant |
L |
16.795930968984 |
L(r)(E,1)/r! |
Ω |
0.12403752435336 |
Real period |
R |
2.9436973691839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98294x1 |
Quadratic twists by: -7 |