Atkin-Lehner |
3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
5925b |
Isogeny class |
Conductor |
5925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-5466645703125 = -1 · 311 · 58 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 -3 -7 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3975,-56250] |
[a1,a2,a3,a4,a6] |
j |
444369620591/349865325 |
j-invariant |
L |
0.84801959573819 |
L(r)(E,1)/r! |
Ω |
0.42400979786909 |
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 |
94800cj1 17775bb1 1185d1 |
Quadratic twists by: -4 -3 5 |