Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
60300f |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
247680 |
Modular degree for the optimal curve |
Δ |
-122107500000000 = -1 · 28 · 36 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45000,3712500] |
[a1,a2,a3,a4,a6] |
Generators |
[381:6471:1] |
Generators of the group modulo torsion |
j |
-5529600/67 |
j-invariant |
L |
5.6905848049683 |
L(r)(E,1)/r! |
Ω |
0.59064768972646 |
Real period |
R |
4.8172412284352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6700a1 60300w1 |
Quadratic twists by: -3 5 |