Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bt |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-159921261288283248 = -1 · 24 · 315 · 134 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-369635,88704659] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9478:1] |
Generators of the group modulo torsion |
j |
-268250743281625/7680778992 |
j-invariant |
L |
8.8539865303238 |
L(r)(E,1)/r! |
Ω |
0.32246516227615 |
Real period |
R |
0.57202474606212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406g1 88218n1 |
Quadratic twists by: -3 13 |