Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520cz |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-12741829416000 = -1 · 26 · 316 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3980,-140650] |
[a1,a2,a3,a4,a6] |
Generators |
[65:630:1] |
Generators of the group modulo torsion |
j |
108914030657216/199091084625 |
j-invariant |
L |
7.6445228139662 |
L(r)(E,1)/r! |
Ω |
0.3720511210992 |
Real period |
R |
1.7122474082283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520ca1 17760a4 106560eq1 |
Quadratic twists by: -4 8 -3 |