Atkin-Lehner |
2+ 3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354r |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-762613159182336 = -1 · 214 · 36 · 72 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5724,1340496] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:948:1] |
Generators of the group modulo torsion |
j |
-28453633725889/1046108585984 |
j-invariant |
L |
6.3952375897662 |
L(r)(E,1)/r! |
Ω |
0.42056917967273 |
Real period |
R |
1.900768598094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13706l1 |
Quadratic twists by: -3 |