Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ec |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-20118067200000000 = -1 · 217 · 36 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41695,-5996303] |
[a1,a2,a3,a4,a6] |
Generators |
[319:-6460:1] |
Generators of the group modulo torsion |
j |
28151260695/70647808 |
j-invariant |
L |
8.3099722264329 |
L(r)(E,1)/r! |
Ω |
0.19845492609293 |
Real period |
R |
0.20526151088654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3850g1 34650bg1 |
Quadratic twists by: -3 5 |