Atkin-Lehner |
2- 3+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606x |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2833920 |
Modular degree for the optimal curve |
Δ |
5279107317846312132 = 22 · 33 · 7 · 1310 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-764747,-232272745] |
[a1,a2,a3,a4,a6] |
Generators |
[-35436:312253:64] |
Generators of the group modulo torsion |
j |
1831946394927448623123/195522493253567116 |
j-invariant |
L |
7.4273823886231 |
L(r)(E,1)/r! |
Ω |
0.16255895499731 |
Real period |
R |
4.5690392071119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606f1 |
Quadratic twists by: -3 |