Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7420a |
Isogeny class |
Conductor |
7420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-29179892000000 = -1 · 28 · 56 · 72 · 533 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1764,-257740] |
[a1,a2,a3,a4,a6] |
Generators |
[2289:19250:27] |
Generators of the group modulo torsion |
j |
2369917714736/113983953125 |
j-invariant |
L |
4.6853052895123 |
L(r)(E,1)/r! |
Ω |
0.31757229419929 |
Real period |
R |
3.6883769263669 |
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 |
29680g2 118720m2 66780m2 37100d2 |
Quadratic twists by: -4 8 -3 5 |