Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7896a |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
47502336 = 210 · 3 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-432,-3300] |
[a1,a2,a3,a4,a6] |
Generators |
[25:30:1] |
Generators of the group modulo torsion |
j |
8727300292/46389 |
j-invariant |
L |
3.7721298924182 |
L(r)(E,1)/r! |
Ω |
1.0473307370553 |
Real period |
R |
3.6016606397171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792m2 63168y2 23688r2 55272i2 |
Quadratic twists by: -4 8 -3 -7 |