Atkin-Lehner |
2- 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050bw |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
240703056000 = 27 · 33 · 53 · 11 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1628,8381] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:197:1] |
Generators of the group modulo torsion |
j |
3817627703189/1925624448 |
j-invariant |
L |
6.8457916216247 |
L(r)(E,1)/r! |
Ω |
0.87442726986912 |
Real period |
R |
0.18640205334271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050bg1 |
Quadratic twists by: 5 |