Atkin-Lehner |
2+ 3+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606a |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
743844771790848 = 218 · 33 · 75 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45522,3511892] |
[a1,a2,a3,a4,a6] |
Generators |
[73:721:1] |
Generators of the group modulo torsion |
j |
386393060243338875/27549806362624 |
j-invariant |
L |
4.4521674232745 |
L(r)(E,1)/r! |
Ω |
0.49603748958432 |
Real period |
R |
4.487732799099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606s1 |
Quadratic twists by: -3 |