Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100j |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
1994062313250000 = 24 · 37 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-567833,-164491338] |
[a1,a2,a3,a4,a6] |
Generators |
[-60666476:1408603:140608] |
Generators of the group modulo torsion |
j |
80992788772864000/7976249253 |
j-invariant |
L |
5.1308199026023 |
L(r)(E,1)/r! |
Ω |
0.17391894817415 |
Real period |
R |
9.8337376038504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2604c1 |
Quadratic twists by: 5 |