Atkin-Lehner |
3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775i |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
297600 |
Modular degree for the optimal curve |
Δ |
39517574572265625 = 35 · 59 · 116 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85200,-424125] |
[a1,a2,a3,a4,a6] |
Generators |
[866:23571:1] |
Generators of the group modulo torsion |
j |
35020345145813/20232998181 |
j-invariant |
L |
6.3244485352357 |
L(r)(E,1)/r! |
Ω |
0.30533614322216 |
Real period |
R |
6.904356259625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325be1 38775s1 |
Quadratic twists by: -3 5 |