Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122694ba |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13478400 |
Modular degree for the optimal curve |
Δ |
-1.1666265060516E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11768825,-54245223963] |
[a1,a2,a3,a4,a6] |
Generators |
[4190435126024899:927739452028024447:84662348471] |
Generators of the group modulo torsion |
j |
-9595703125/62099136 |
j-invariant |
L |
3.4267169859563 |
L(r)(E,1)/r! |
Ω |
0.036315456396851 |
Real period |
R |
23.589934653143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154y1 122694cu1 |
Quadratic twists by: -11 13 |