Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520be |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
240874910720 = 210 · 5 · 196 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1925,-22997] |
[a1,a2,a3,a4,a6] |
Generators |
[918:27797:1] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
5.7607515249615 |
L(r)(E,1)/r! |
Ω |
0.73783662094914 |
Real period |
R |
3.9038124435347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999316893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520cv1 7220c1 320c1 |
Quadratic twists by: -4 8 -19 |