Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075d |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-16921875 = -1 · 3 · 56 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 -2 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,50,-125] |
[a1,a2,a3,a4,a6] |
j |
2375/3 |
j-invariant |
L |
2.3471303776358 |
L(r)(E,1)/r! |
Ω |
1.1735651888178 |
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 |
81225be1 1083d1 27075m1 |
Quadratic twists by: -3 5 -19 |