Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391h |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
73407052501894881 = 36 · 72 · 112 · 198 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-679409,214871160] |
[a1,a2,a3,a4,a6] |
Generators |
[94391710:28952079989:1000] |
Generators of the group modulo torsion |
j |
737219801902753/1560329001 |
j-invariant |
L |
7.2232947547076 |
L(r)(E,1)/r! |
Ω |
0.34579901866251 |
Real period |
R |
10.444354030439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008484 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389f2 |
Quadratic twists by: -19 |