Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970n |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.0534223811825E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2928690,-1990582700] |
[a1,a2,a3,a4,a6] |
Generators |
[2651181245916120554552967:118517128393186160668643234:837066357559559408471] |
Generators of the group modulo torsion |
j |
-32391289681150609/1228250000000 |
j-invariant |
L |
4.4339131347632 |
L(r)(E,1)/r! |
Ω |
0.057575273879228 |
Real period |
R |
38.505358602931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330y2 1530g2 |
Quadratic twists by: -3 -7 |