Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352bd |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-5113407793545216 = -1 · 214 · 310 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 11- -7 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5768,-3438224] |
[a1,a2,a3,a4,a6] |
Generators |
[442:9234:1] |
Generators of the group modulo torsion |
j |
353829047/85266756 |
j-invariant |
L |
2.2449350945828 |
L(r)(E,1)/r! |
Ω |
0.20279915555565 |
Real period |
R |
1.3837181978833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794t1 110352bo1 |
Quadratic twists by: -4 -11 |