Atkin-Lehner |
2+ 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
83398a |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
313974121664 = 26 · 78 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 4 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14233252,-20669464350] |
[a1,a2,a3,a4,a6] |
j |
2710490216437522251433/2668736 |
j-invariant |
L |
0.62181823843529 |
L(r)(E,1)/r! |
Ω |
0.077727289570407 |
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 |
11914a2 |
Quadratic twists by: -7 |