Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37600f |
Isogeny class |
Conductor |
37600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
24064000 = 212 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -1 -3 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,943] |
[a1,a2,a3,a4,a6] |
Generators |
[3:20:1] |
Generators of the group modulo torsion |
j |
1560896/47 |
j-invariant |
L |
5.7050645532028 |
L(r)(E,1)/r! |
Ω |
2.1206338532311 |
Real period |
R |
0.33628297881969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37600d1 75200dw1 37600n1 |
Quadratic twists by: -4 8 5 |