Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18880n |
Isogeny class |
Conductor |
18880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
94400 = 26 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80,-250] |
[a1,a2,a3,a4,a6] |
Generators |
[1315895:4783950:68921] |
Generators of the group modulo torsion |
j |
895841344/1475 |
j-invariant |
L |
7.8128845737218 |
L(r)(E,1)/r! |
Ω |
1.5948452761367 |
Real period |
R |
9.7976708971386 |
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 |
18880q1 9440d2 94400cd1 |
Quadratic twists by: -4 8 5 |