Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450bj |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-50058000 = -1 · 24 · 35 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 6 -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,92,32] |
[a1,a2,a3,a4,a6] |
Generators |
[2:14:1] |
Generators of the group modulo torsion |
j |
688465387/400464 |
j-invariant |
L |
8.3784956377734 |
L(r)(E,1)/r! |
Ω |
1.2082612744182 |
Real period |
R |
0.17335852383847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600bk1 46350bg1 15450j1 |
Quadratic twists by: -4 -3 5 |