Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570l |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-150280 = -1 · 23 · 5 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
-83521/520 |
j-invariant |
L |
6.6087705881395 |
L(r)(E,1)/r! |
Ω |
1.360608538877 |
Real period |
R |
1.6190722507133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37570r1 |
Quadratic twists by: 17 |