Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18207d |
Isogeny class |
Conductor |
18207 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
-9.2752039559567E+22 |
Discriminant |
Eigenvalues |
0 3- 1 7- 3 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9271698,-9829771956] |
[a1,a2,a3,a4,a6] |
Generators |
[41684:8532580:1] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
5.0650783953604 |
L(r)(E,1)/r! |
Ω |
0.058009145780553 |
Real period |
R |
1.3642995231631 |
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 |
6069e1 127449y1 1071a1 |
Quadratic twists by: -3 -7 17 |