Atkin-Lehner |
2- 5- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75050n |
Isogeny class |
Conductor |
75050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1185600 |
Modular degree for the optimal curve |
Δ |
-32945148800000000 = -1 · 213 · 58 · 194 · 79 |
Discriminant |
Eigenvalues |
2- 3 5- -4 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29820,8497447] |
[a1,a2,a3,a4,a6] |
j |
7507584834255/84339580928 |
j-invariant |
L |
7.0725333848272 |
L(r)(E,1)/r! |
Ω |
0.27202051631764 |
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 |
75050d1 |
Quadratic twists by: 5 |