Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200dw |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
376000 = 26 · 53 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -1 1 3 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48,142] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] [7:10:1] |
Generators of the group modulo torsion |
j |
1560896/47 |
j-invariant |
L |
8.7298026643301 |
L(r)(E,1)/r! |
Ω |
2.9990291560669 |
Real period |
R |
1.4554381118189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200de1 37600f1 75200dd1 |
Quadratic twists by: -4 8 5 |