Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956v |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
22752576 |
Modular degree for the optimal curve |
Δ |
8.7482384132456E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-528101436,-4671329291532] |
[a1,a2,a3,a4,a6] |
Generators |
[81699:22304898:1] |
Generators of the group modulo torsion |
j |
11037010933211108422864/592783797771 |
j-invariant |
L |
6.0559053546587 |
L(r)(E,1)/r! |
Ω |
0.031493448563063 |
Real period |
R |
3.5609436412818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109956m1 |
Quadratic twists by: -7 |