Atkin-Lehner |
2- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610s |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-1341764995112960 = -1 · 213 · 5 · 117 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-131106,18301999] |
[a1,a2,a3,a4,a6] |
Generators |
[281:1795:1] [-49:4985:1] |
Generators of the group modulo torsion |
j |
-140681020636729/757391360 |
j-invariant |
L |
11.14722594207 |
L(r)(E,1)/r! |
Ω |
0.48445560240569 |
Real period |
R |
0.22124806544775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510a1 |
Quadratic twists by: -11 |