Atkin-Lehner |
5+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
99715f |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
255334031350827275 = 52 · 714 · 11 · 372 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-456314,116087661] |
[a1,a2,a3,a4,a6] |
Generators |
[341:236:1] |
Generators of the group modulo torsion |
j |
89315222428341001/2170303456475 |
j-invariant |
L |
4.9400815537588 |
L(r)(E,1)/r! |
Ω |
0.31054682584587 |
Real period |
R |
3.9769216177112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245f2 |
Quadratic twists by: -7 |