Atkin-Lehner |
2+ 3+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606h |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-103772987136 = -1 · 28 · 33 · 74 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-393,15885] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:143:1] [-9:141:1] |
Generators of the group modulo torsion |
j |
-248976900171/3843443968 |
j-invariant |
L |
7.1270373147108 |
L(r)(E,1)/r! |
Ω |
0.89647863284936 |
Real period |
R |
0.99375448749569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606z1 |
Quadratic twists by: -3 |