Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680r |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
588349440 = 215 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-766081,-257828255] |
[a1,a2,a3,a4,a6] |
Generators |
[37065:964340:27] |
Generators of the group modulo torsion |
j |
1517394193872963848/17955 |
j-invariant |
L |
5.8364872617711 |
L(r)(E,1)/r! |
Ω |
0.1613729858049 |
Real period |
R |
9.0419210177843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000641231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ca4 63840w4 |
Quadratic twists by: -4 8 |