Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
77372b |
Isogeny class |
Conductor |
77372 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2945450879514368 = 28 · 23 · 298 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111292,14086968] |
[a1,a2,a3,a4,a6] |
Generators |
[86374386:-1023118550:250047] |
Generators of the group modulo torsion |
j |
1001132368/19343 |
j-invariant |
L |
10.944356002228 |
L(r)(E,1)/r! |
Ω |
0.45147389374285 |
Real period |
R |
8.0804642705288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2668a2 |
Quadratic twists by: 29 |