Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970by |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.721794205916E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19007091,-448196784435] |
[a1,a2,a3,a4,a6] |
Generators |
[6885:91440:1] |
Generators of the group modulo torsion |
j |
8854313460877886399/1016927675429790600 |
j-invariant |
L |
3.8296333574838 |
L(r)(E,1)/r! |
Ω |
0.028674229835989 |
Real period |
R |
8.3472890531783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000004089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990by5 10710f6 |
Quadratic twists by: -3 -7 |