Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575r |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
70528737234375 = 33 · 56 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-250664425,-1527625367750] |
[a1,a2,a3,a4,a6] |
Generators |
[131275856066812723439766131994:-39834268115122996902476607145109:1387815408037320054767416] |
Generators of the group modulo torsion |
j |
947531277805646290177/38367 |
j-invariant |
L |
7.3774597034866 |
L(r)(E,1)/r! |
Ω |
0.037942538104011 |
Real period |
R |
48.609424062296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000025461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4263g3 15225o4 |
Quadratic twists by: 5 -7 |