Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306m |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
107129427864408 = 23 · 32 · 19 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 -3 3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11914,-51196] |
[a1,a2,a3,a4,a6] |
j |
2387929/1368 |
j-invariant |
L |
2.9738350524363 |
L(r)(E,1)/r! |
Ω |
0.49563917507339 |
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 |
60306k1 |
Quadratic twists by: -23 |