Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970by |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.1775612834321E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-768477789,-8199443565027] |
[a1,a2,a3,a4,a6] |
Generators |
[2831637:4763282619:1] |
Generators of the group modulo torsion |
j |
585196747116290735872321/836876053125000 |
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 |
1.0000000001022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990by6 10710f5 |
Quadratic twists by: -3 -7 |