Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218w |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29352960 |
Modular degree for the optimal curve |
Δ |
-2.6171063504027E+24 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -1 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8871201,77164402459] |
[a1,a2,a3,a4,a6] |
j |
21942358211971079/743761560420918 |
j-invariant |
L |
0.48936098198969 |
L(r)(E,1)/r! |
Ω |
0.061170113219153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406s1 6786q1 |
Quadratic twists by: -3 13 |