Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ei |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
7024640 |
Modular degree for the optimal curve |
Δ |
9.8708392954626E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-215600180,1217605437447] |
[a1,a2,a3,a4,a6] |
j |
778419129671687951621/693260592493392 |
j-invariant |
L |
4.8920603153718 |
L(r)(E,1)/r! |
Ω |
0.087358219917393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550p1 34650br1 |
Quadratic twists by: -3 5 |