Atkin-Lehner |
3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021d |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-6485116575886639803 = -1 · 319 · 73 · 23 · 294 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ -1 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,343995,94770004] |
[a1,a2,a3,a4,a6] |
j |
6175221985401344000/8895907511504307 |
j-invariant |
L |
0.64388836652052 |
L(r)(E,1)/r! |
Ω |
0.16097209159929 |
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 |
14007d1 |
Quadratic twists by: -3 |