Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5840d |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
191365120 = 219 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 1 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416,-3340] |
[a1,a2,a3,a4,a6] |
Generators |
[26:64:1] |
Generators of the group modulo torsion |
j |
1948441249/46720 |
j-invariant |
L |
4.4025724187077 |
L(r)(E,1)/r! |
Ω |
1.0584583642438 |
Real period |
R |
1.0398548888253 |
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 |
730i1 23360bc1 52560bi1 29200m1 |
Quadratic twists by: -4 8 -3 5 |