Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560ba |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-162618750000 = -1 · 24 · 32 · 58 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4355,113772] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-125:1] |
Generators of the group modulo torsion |
j |
-571041835902976/10163671875 |
j-invariant |
L |
5.3801231414735 |
L(r)(E,1)/r! |
Ω |
1.0230566394239 |
Real period |
R |
0.32867945271489 |
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 |
99120z1 |
Quadratic twists by: -4 |