Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bq |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
15062662348800 = 215 · 3 · 52 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121053,-16260429] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:132:1] |
Generators of the group modulo torsion |
j |
7847125496032305145/602506493952 |
j-invariant |
L |
9.1869827392946 |
L(r)(E,1)/r! |
Ω |
0.25595148145569 |
Real period |
R |
1.1964484683843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050bh2 |
Quadratic twists by: 5 |