Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310m |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-84501480960000 = -1 · 212 · 310 · 54 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3690,-434700] |
[a1,a2,a3,a4,a6] |
Generators |
[20505:256809:125] |
Generators of the group modulo torsion |
j |
7620949383839/115914240000 |
j-invariant |
L |
4.4476224743059 |
L(r)(E,1)/r! |
Ω |
0.29656988532686 |
Real period |
R |
7.4984391442681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bf1 |
Quadratic twists by: -3 |