Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700v |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
344988000000 = 28 · 32 · 56 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8708,-314412] |
[a1,a2,a3,a4,a6] |
j |
18258658000/86247 |
j-invariant |
L |
3.9548429452252 |
L(r)(E,1)/r! |
Ω |
0.4943553628952 |
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 |
3108b2 |
Quadratic twists by: 5 |