Atkin-Lehner |
3+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225h |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-68364636091875 = -1 · 32 · 54 · 17 · 595 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 -3 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15758,-853807] |
[a1,a2,a3,a4,a6] |
j |
-692427875430400/109383417747 |
j-invariant |
L |
1.2673187588175 |
L(r)(E,1)/r! |
Ω |
0.21121979737579 |
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 |
75225s2 |
Quadratic twists by: 5 |