Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240b |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-6038461440 = -1 · 210 · 33 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,453,454] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3168:1] |
Generators of the group modulo torsion |
j |
371838708/218405 |
j-invariant |
L |
8.5826243125769 |
L(r)(E,1)/r! |
Ω |
0.81584481192238 |
Real period |
R |
2.6299806615912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75240z1 |
Quadratic twists by: -3 |