Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
60300c |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
462240 |
Modular degree for the optimal curve |
Δ |
-7631718750000 = -1 · 24 · 36 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547500,155928125] |
[a1,a2,a3,a4,a6] |
Generators |
[53255:5274:125] |
Generators of the group modulo torsion |
j |
-159341363200/67 |
j-invariant |
L |
6.6742469165304 |
L(r)(E,1)/r! |
Ω |
0.6030713409759 |
Real period |
R |
5.5335467489514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6700c1 60300u1 |
Quadratic twists by: -3 5 |