Atkin-Lehner |
5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
605c |
Isogeny class |
Conductor |
605 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-378125 = -1 · 55 · 112 |
Discriminant |
Eigenvalues |
-1 -3 5- -3 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12,36] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
-1459161/3125 |
j-invariant |
L |
0.92143195846205 |
L(r)(E,1)/r! |
Ω |
2.6758306611735 |
Real period |
R |
0.068870722787663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9680be1 38720t1 5445f1 3025d1 |
Quadratic twists by: -4 8 -3 5 |