Atkin-Lehner |
2- 3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710v |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-41652000 = -1 · 25 · 32 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25,317] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
1723683599/41652000 |
j-invariant |
L |
8.4208555045799 |
L(r)(E,1)/r! |
Ω |
1.5263736716849 |
Real period |
R |
0.18389676701913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130i1 |
Quadratic twists by: -3 |