Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200bh |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
13289344000000000 = 216 · 59 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 1 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136833,18721537] |
[a1,a2,a3,a4,a6] |
j |
2213550644/103823 |
j-invariant |
L |
1.5739967506661 |
L(r)(E,1)/r! |
Ω |
0.39349918760525 |
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 |
75200dt1 9400m1 75200bs1 |
Quadratic twists by: -4 8 5 |