Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170be |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-29505546000 = -1 · 24 · 36 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,157,-8269] |
[a1,a2,a3,a4,a6] |
Generators |
[21:52:1] |
Generators of the group modulo torsion |
j |
590589719/40474000 |
j-invariant |
L |
8.9340466106313 |
L(r)(E,1)/r! |
Ω |
0.56150631363673 |
Real period |
R |
0.66295237127197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4130b1 |
Quadratic twists by: -3 |