Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122m |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1656691670490948 = 22 · 37 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295085637,1951131954177] |
[a1,a2,a3,a4,a6] |
Generators |
[9771:20409:1] |
Generators of the group modulo torsion |
j |
3897987105329876947288524625/2272553731812 |
j-invariant |
L |
3.9815505874916 |
L(r)(E,1)/r! |
Ω |
0.2033628449283 |
Real period |
R |
4.8946386800592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10374l5 |
Quadratic twists by: -3 |