Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
37080c |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
20273490000 = 24 · 39 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-702,-2079] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:55:1] |
Generators of the group modulo torsion |
j |
121485312/64375 |
j-invariant |
L |
6.9925299841892 |
L(r)(E,1)/r! |
Ω |
0.98477316585924 |
Real period |
R |
1.7751626025694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74160e1 37080k1 |
Quadratic twists by: -4 -3 |