Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094k |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-101864818944 = -1 · 28 · 33 · 72 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 6 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8808,-316352] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2804:1] |
Generators of the group modulo torsion |
j |
-57124645848459/76995328 |
j-invariant |
L |
6.694201734126 |
L(r)(E,1)/r! |
Ω |
0.24638418597315 |
Real period |
R |
2.26414752362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094bo2 59094d1 |
Quadratic twists by: -3 -7 |