Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890d |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
477076692568320 = 28 · 310 · 5 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5917050,-5538472524] |
[a1,a2,a3,a4,a6] |
Generators |
[571840194900:56076385184534:55306341] |
Generators of the group modulo torsion |
j |
31427652507069423952801/654426190080 |
j-invariant |
L |
3.846885494249 |
L(r)(E,1)/r! |
Ω |
0.096799528518015 |
Real period |
R |
19.870373095531 |
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 |
6630x1 99450cz1 |
Quadratic twists by: -3 5 |