Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306o |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-290318420611939932 = -1 · 22 · 310 · 192 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5808,-25920627] |
[a1,a2,a3,a4,a6] |
Generators |
[142186751506:1176076796777:449455096] |
Generators of the group modulo torsion |
j |
146363183/1961135388 |
j-invariant |
L |
8.7218938609417 |
L(r)(E,1)/r! |
Ω |
0.14213176400447 |
Real period |
R |
15.341211589894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2622d1 |
Quadratic twists by: -23 |