Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48950m |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
15472512 |
Modular degree for the optimal curve |
Δ |
-4.0628381895006E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- -5 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-763633442,-8122044146284] |
[a1,a2,a3,a4,a6] |
Generators |
[31939:245693:1] |
Generators of the group modulo torsion |
j |
-3151798934450475394062697329/260021644128040960 |
j-invariant |
L |
3.058759305026 |
L(r)(E,1)/r! |
Ω |
0.014359797712445 |
Real period |
R |
4.8411028012955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790o1 |
Quadratic twists by: 5 |