Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5928h |
Isogeny class |
Conductor |
5928 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
960336 = 24 · 35 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20007,-1095930] |
[a1,a2,a3,a4,a6] |
Generators |
[318:4980:1] |
Generators of the group modulo torsion |
j |
55356847905445888/60021 |
j-invariant |
L |
5.1307575861538 |
L(r)(E,1)/r! |
Ω |
0.40142300044865 |
Real period |
R |
5.1125696140175 |
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 |
11856f1 47424o1 17784q1 77064y1 |
Quadratic twists by: -4 8 -3 13 |