Atkin-Lehner |
2+ 5+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
88150g |
Isogeny class |
Conductor |
88150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-29578231808000000 = -1 · 230 · 56 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -2 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15950,-8231500] |
[a1,a2,a3,a4,a6] |
Generators |
[19921420:134628090:103823] |
Generators of the group modulo torsion |
j |
28717273414367/1893006835712 |
j-invariant |
L |
4.7846202588349 |
L(r)(E,1)/r! |
Ω |
0.17761633145398 |
Real period |
R |
6.7344880728301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3526c1 |
Quadratic twists by: 5 |