Atkin-Lehner |
3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21021i |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-403102683600183567 = -1 · 310 · 710 · 11 · 133 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-169811,-40739191] |
[a1,a2,a3,a4,a6] |
j |
-4602875775513625/3426316276383 |
j-invariant |
L |
3.4169789886041 |
L(r)(E,1)/r! |
Ω |
0.11389929962014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63063bc1 3003d1 |
Quadratic twists by: -3 -7 |