Atkin-Lehner |
3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
555a |
Isogeny class |
Conductor |
555 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60 |
Modular degree for the optimal curve |
Δ |
-346875 = -1 · 3 · 55 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 4 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1,-29] |
[a1,a2,a3,a4,a6] |
j |
-262144/346875 |
j-invariant |
L |
1.3704794284217 |
L(r)(E,1)/r! |
Ω |
1.3704794284217 |
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 |
8880k1 35520r1 1665e1 2775c1 |
Quadratic twists by: -4 8 -3 5 |