Atkin-Lehner |
2+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15470f |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-3.9617841898268E+30 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,681089808,-95519294784256] |
[a1,a2,a3,a4,a6] |
Generators |
[91519589544992:61274583195650384:204336469] |
Generators of the group modulo torsion |
j |
34941122714125012042156048575479/3961784189826790477212291174400 |
j-invariant |
L |
5.5198431339872 |
L(r)(E,1)/r! |
Ω |
0.011733971928694 |
Real period |
R |
8.4002780977843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bu2 77350bg2 108290i2 |
Quadratic twists by: -4 5 -7 |