Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415h |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-6368836140375 = -1 · 3 · 53 · 198 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,534,121371] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:245:1] |
Generators of the group modulo torsion |
j |
357911/135375 |
j-invariant |
L |
2.5704714896429 |
L(r)(E,1)/r! |
Ω |
0.58444706243578 |
Real period |
R |
4.3981254331744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640by1 16245k1 27075e1 285b1 |
Quadratic twists by: -4 -3 5 -19 |