Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520db |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-22200000 = -1 · 26 · 3 · 55 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:15:1] |
Generators of the group modulo torsion |
j |
-262144/346875 |
j-invariant |
L |
8.4836557364591 |
L(r)(E,1)/r! |
Ω |
1.7285839210094 |
Real period |
R |
0.98157290870831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520r1 8880k1 106560ez1 |
Quadratic twists by: -4 8 -3 |