Atkin-Lehner |
3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3075c |
Isogeny class |
Conductor |
3075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-875654296875 = -1 · 37 · 510 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 -1 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1967,-30657] |
[a1,a2,a3,a4,a6] |
j |
53838872576/56041875 |
j-invariant |
L |
0.96302049888541 |
L(r)(E,1)/r! |
Ω |
0.48151024944271 |
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 |
49200dh1 9225o1 615b1 126075r1 |
Quadratic twists by: -4 -3 5 41 |