Atkin-Lehner |
2- 3+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318o |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
102781591486464 = 222 · 3 · 113 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-509839,139905941] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:16914:1] [-237:15850:1] |
Generators of the group modulo torsion |
j |
14656252089243737410417/102781591486464 |
j-invariant |
L |
7.9188636015412 |
L(r)(E,1)/r! |
Ω |
0.53389223763972 |
Real period |
R |
0.44946441765843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954l1 |
Quadratic twists by: -3 |