Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692s |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-80963218224 = -1 · 24 · 36 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,523,-12720] |
[a1,a2,a3,a4,a6] |
Generators |
[268:4410:1] |
Generators of the group modulo torsion |
j |
8388608/43011 |
j-invariant |
L |
7.2986927163989 |
L(r)(E,1)/r! |
Ω |
0.5443656210169 |
Real period |
R |
2.2346172114876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076m1 708a1 |
Quadratic twists by: -3 -7 |