Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bd |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-7.5513135523108E+24 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,48772500,17089569531] |
[a1,a2,a3,a4,a6] |
Generators |
[4229860815308506577308117:-102495402604365999639900516688:7203929595283637] |
Generators of the group modulo torsion |
j |
1802275556733747200/1060705771956963 |
j-invariant |
L |
3.9159601317519 |
L(r)(E,1)/r! |
Ω |
0.045078944383775 |
Real period |
R |
43.434470186499 |
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 |
14025q1 42075bt1 |
Quadratic twists by: -3 5 |