Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
60300p |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-305268750000 = -1 · 24 · 36 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 -4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-14375] |
[a1,a2,a3,a4,a6] |
j |
81920/67 |
j-invariant |
L |
3.2223726752326 |
L(r)(E,1)/r! |
Ω |
0.53706211334866 |
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 |
6700i1 60300k1 |
Quadratic twists by: -3 5 |