Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560ba |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11696160000 = 28 · 3 · 54 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69980,7148772] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1180:1] |
Generators of the group modulo torsion |
j |
148051143885193936/45688125 |
j-invariant |
L |
5.3801231414735 |
L(r)(E,1)/r! |
Ω |
1.0230566394239 |
Real period |
R |
0.65735890542979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120z2 |
Quadratic twists by: -4 |