Atkin-Lehner |
2- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298t |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1198027264 = -1 · 29 · 72 · 17 · 532 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 0 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1471,21657] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-123:1] [-6:177:1] |
Generators of the group modulo torsion |
j |
-7184294099521/24449536 |
j-invariant |
L |
10.717623017505 |
L(r)(E,1)/r! |
Ω |
1.5447807090214 |
Real period |
R |
0.38544208734826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298q1 |
Quadratic twists by: -7 |