Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bm |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-617513118750000 = -1 · 24 · 38 · 58 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15662,934031] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:397:1] [-31:663:1] |
Generators of the group modulo torsion |
j |
27192154047911/39520839600 |
j-invariant |
L |
11.853969725239 |
L(r)(E,1)/r! |
Ω |
0.34842501440199 |
Real period |
R |
2.1263487901358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210n2 |
Quadratic twists by: 5 |