Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bi |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
490534774689024 = 28 · 34 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -6 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2117964,1187091684] |
[a1,a2,a3,a4,a6] |
Generators |
[104280:39546:125] [480:16758:1] |
Generators of the group modulo torsion |
j |
850314450802768/396981 |
j-invariant |
L |
7.0762246176826 |
L(r)(E,1)/r! |
Ω |
0.42793229041411 |
Real period |
R |
2.0669813820886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048d2 |
Quadratic twists by: 13 |