Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440cc |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
249375754307993600 = 215 · 52 · 73 · 316 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-326145,-67653857] |
[a1,a2,a3,a4,a6] |
Generators |
[-387:868:1] [-294:1705:1] |
Generators of the group modulo torsion |
j |
117086623862068232/7610344064575 |
j-invariant |
L |
7.5525192447064 |
L(r)(E,1)/r! |
Ω |
0.20059254343849 |
Real period |
R |
2.0917248233313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bh2 34720v2 |
Quadratic twists by: -4 8 |