Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160g |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-103800268800 = -1 · 211 · 39 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 1 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-21006] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2430:1] |
Generators of the group modulo torsion |
j |
-3721734/2575 |
j-invariant |
L |
6.974574010694 |
L(r)(E,1)/r! |
Ω |
0.40153045076894 |
Real period |
R |
2.1712469121792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080a1 74160c1 |
Quadratic twists by: -4 -3 |