Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ch |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7687680 |
Modular degree for the optimal curve |
Δ |
-1.4937477668259E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16482050,25815375300] |
[a1,a2,a3,a4,a6] |
Generators |
[2176:15026:1] |
Generators of the group modulo torsion |
j |
-2309847445598231841775/6967919612015856 |
j-invariant |
L |
3.3510110579147 |
L(r)(E,1)/r! |
Ω |
0.15158544019044 |
Real period |
R |
5.5266044133198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550jr1 95550fm1 |
Quadratic twists by: 5 -7 |