Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478y |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-166152250276452 = -1 · 22 · 321 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17082,-1055480] |
[a1,a2,a3,a4,a6] |
j |
-2094688437625/631351908 |
j-invariant |
L |
0.82246109692304 |
L(r)(E,1)/r! |
Ω |
0.20561527806553 |
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 |
23826w1 71478ce1 |
Quadratic twists by: -3 -19 |