Atkin-Lehner |
2+ 3- 7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606r |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
2474179344 = 24 · 38 · 72 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4383,112765] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-118:1] [-37:491:1] |
Generators of the group modulo torsion |
j |
12775159483633/3393936 |
j-invariant |
L |
6.9603756631422 |
L(r)(E,1)/r! |
Ω |
1.4139323886331 |
Real period |
R |
1.2306768907581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202h1 |
Quadratic twists by: -3 |