Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850bu |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-516368814062500 = -1 · 22 · 58 · 76 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19370,339497] |
[a1,a2,a3,a4,a6] |
Generators |
[489:11005:1] |
Generators of the group modulo torsion |
j |
437245479/280900 |
j-invariant |
L |
9.3112075350176 |
L(r)(E,1)/r! |
Ω |
0.32529543143615 |
Real period |
R |
3.5779811784433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25970g2 2650f2 |
Quadratic twists by: 5 -7 |