Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694ce |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50319360 |
Modular degree for the optimal curve |
Δ |
-1.5014483132884E+27 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,215920565,1408716730169] |
[a1,a2,a3,a4,a6] |
Generators |
[2879849611:996213869622:24389] |
Generators of the group modulo torsion |
j |
4558438520831/6147814464 |
j-invariant |
L |
10.017728851406 |
L(r)(E,1)/r! |
Ω |
0.032193672162919 |
Real period |
R |
12.965447579147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154a1 122694t1 |
Quadratic twists by: -11 13 |