Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520bd |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1138613760000 = 212 · 34 · 54 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2896,-30080] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:170:1] [-22:150:1] |
Generators of the group modulo torsion |
j |
656008386769/277981875 |
j-invariant |
L |
8.3453224441298 |
L(r)(E,1)/r! |
Ω |
0.6759743637253 |
Real period |
R |
3.0864049333805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845e2 |
Quadratic twists by: -4 |