Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bq |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
305643626201088 = 215 · 36 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35873,-2464287] |
[a1,a2,a3,a4,a6] |
j |
155807721341000/9327503241 |
j-invariant |
L |
2.7856036075441 |
L(r)(E,1)/r! |
Ω |
0.34820043046408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112bx2 49056i2 |
Quadratic twists by: -4 8 |