Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8547a |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15393903759927 = 38 · 78 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14241794,-20692822120] |
[a1,a2,a3,a4,a6] |
Generators |
[1130288059530:20827199000789:250047000] |
Generators of the group modulo torsion |
j |
319460975111653539900484897/15393903759927 |
j-invariant |
L |
1.6865250960445 |
L(r)(E,1)/r! |
Ω |
0.077715631369874 |
Real period |
R |
21.701233925744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25641e6 59829m6 94017k6 |
Quadratic twists by: -3 -7 -11 |