Atkin-Lehner |
2+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42826k |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
622768690693144576 = 225 · 76 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 5 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-646270,-196172908] |
[a1,a2,a3,a4,a6] |
j |
253733516886870441/5293446529024 |
j-invariant |
L |
4.0463012370412 |
L(r)(E,1)/r! |
Ω |
0.16859588486108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874b1 |
Quadratic twists by: -7 |