Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120s |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1187164160000 = 215 · 54 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2473292,1497135824] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:47080:1] |
Generators of the group modulo torsion |
j |
51062250920183481672/36229375 |
j-invariant |
L |
4.7856024262064 |
L(r)(E,1)/r! |
Ω |
0.53599218446547 |
Real period |
R |
4.4642464618948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29120bd4 14560j3 |
Quadratic twists by: -4 8 |