Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122694ba |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.1887957386789E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-298872785,-1984674830211] |
[a1,a2,a3,a4,a6] |
Generators |
[18417324110608154419855976395:3859597473512278555961842070087:362684178299371199388391] |
Generators of the group modulo torsion |
j |
157158018407125/382657176 |
j-invariant |
L |
3.4267169859563 |
L(r)(E,1)/r! |
Ω |
0.036315456396851 |
Real period |
R |
47.179869306287 |
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 |
11154y2 122694cu2 |
Quadratic twists by: -11 13 |