Atkin-Lehner |
3+ 7- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102459h |
Isogeny class |
Conductor |
102459 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-239987359143 = -1 · 310 · 73 · 172 · 41 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 6 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1161,-17508] |
[a1,a2,a3,a4,a6] |
Generators |
[29:189:1] |
Generators of the group modulo torsion |
j |
504548444681/699671601 |
j-invariant |
L |
2.7062916877646 |
L(r)(E,1)/r! |
Ω |
0.52600557323899 |
Real period |
R |
2.5724933381445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102459t1 |
Quadratic twists by: -7 |