Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bl |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
78281437500 = 22 · 34 · 56 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3513,-80469] |
[a1,a2,a3,a4,a6] |
Generators |
[79:338:1] |
Generators of the group modulo torsion |
j |
306863943625/5010012 |
j-invariant |
L |
8.16120715672 |
L(r)(E,1)/r! |
Ω |
0.62073933978277 |
Real period |
R |
3.28688977549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974b2 |
Quadratic twists by: 5 |