Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5814c |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-72737884224 = -1 · 26 · 33 · 17 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1305,22637] |
[a1,a2,a3,a4,a6] |
Generators |
[26:63:1] |
Generators of the group modulo torsion |
j |
-9107069805387/2693995712 |
j-invariant |
L |
2.7817755857802 |
L(r)(E,1)/r! |
Ω |
1.035142974942 |
Real period |
R |
0.13436673257315 |
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 |
46512r1 5814m1 98838d1 110466ba1 |
Quadratic twists by: -4 -3 17 -19 |