Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415i |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
402192 |
Modular degree for the optimal curve |
Δ |
3.665587481001E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 1 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4734996,-2692708189] |
[a1,a2,a3,a4,a6] |
Generators |
[-13638:165479:8] |
Generators of the group modulo torsion |
j |
1914902401024/597871125 |
j-invariant |
L |
7.8073474307672 |
L(r)(E,1)/r! |
Ω |
0.10485092148174 |
Real period |
R |
5.3186721274867 |
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 |
86640bx1 16245n1 27075j1 5415b1 |
Quadratic twists by: -4 -3 5 -19 |