Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294bl |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-797214980276822016 = -1 · 213 · 317 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 13- 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-417429,-112239243] |
[a1,a2,a3,a4,a6] |
j |
-5022437771811277/497757560832 |
j-invariant |
L |
2.2413044983286 |
L(r)(E,1)/r! |
Ω |
0.09338768743036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098bf1 21294ci1 |
Quadratic twists by: -3 13 |