Atkin-Lehner |
3- 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021k |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2609008294221 = 38 · 72 · 234 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-613971,185323252] |
[a1,a2,a3,a4,a6] |
j |
35110754066944923697/3578886549 |
j-invariant |
L |
2.4980286659977 |
L(r)(E,1)/r! |
Ω |
0.62450716650953 |
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 |
14007f3 |
Quadratic twists by: -3 |