Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350bz |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-7657917187500 = -1 · 22 · 310 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2930,147197] |
[a1,a2,a3,a4,a6] |
Generators |
[45:301:1] |
Generators of the group modulo torsion |
j |
-9765625/26892 |
j-invariant |
L |
9.7485833312611 |
L(r)(E,1)/r! |
Ω |
0.65356264114865 |
Real period |
R |
1.8645082195428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450k1 37350l1 |
Quadratic twists by: -3 5 |