Atkin-Lehner |
2+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106930o |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3838464 |
Modular degree for the optimal curve |
Δ |
-3844372293249626240 = -1 · 27 · 5 · 179 · 373 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54964,-94451120] |
[a1,a2,a3,a4,a6] |
Generators |
[260116:16412013:64] |
Generators of the group modulo torsion |
j |
-154854153/32417920 |
j-invariant |
L |
2.9869675997428 |
L(r)(E,1)/r! |
Ω |
0.11073218499599 |
Real period |
R |
4.4957834938312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106930b1 |
Quadratic twists by: 17 |