Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200bp |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
334848 |
Modular degree for the optimal curve |
Δ |
-99935866880000 = -1 · 215 · 54 · 474 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 5 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2900,-477200] |
[a1,a2,a3,a4,a6] |
j |
131700600/4879681 |
j-invariant |
L |
1.1509350666438 |
L(r)(E,1)/r! |
Ω |
0.28773377303255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200ca1 37600o1 75200z1 |
Quadratic twists by: -4 8 5 |