Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218h |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-8594578031530608 = -1 · 24 · 33 · 138 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,47373,-2047707] |
[a1,a2,a3,a4,a6] |
j |
533827125/390224 |
j-invariant |
L |
0.92661590990728 |
L(r)(E,1)/r! |
Ω |
0.2316539685326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88218bj2 88218bn1 |
Quadratic twists by: -3 13 |