Atkin-Lehner |
3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7917a |
Isogeny class |
Conductor |
7917 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5010795487978371 = 318 · 7 · 133 · 292 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70129,6255550] |
[a1,a2,a3,a4,a6] |
j |
38144008172870940313/5010795487978371 |
j-invariant |
L |
1.6635471767077 |
L(r)(E,1)/r! |
Ω |
0.41588679417692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672bp2 23751d2 55419g2 102921b2 |
Quadratic twists by: -4 -3 -7 13 |