Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008s |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2868480 |
Modular degree for the optimal curve |
Δ |
-9.7228450531536E+19 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- -4 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88006,474304626] |
[a1,a2,a3,a4,a6] |
j |
1177824501799285248/1519194539555253379 |
j-invariant |
L |
0.89035665879183 |
L(r)(E,1)/r! |
Ω |
0.148392736245 |
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 |
99008b1 49504p1 |
Quadratic twists by: -4 8 |