Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310be |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
169263508152960000 = 210 · 39 · 54 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-371304,-84712640] |
[a1,a2,a3,a4,a6] |
Generators |
[-369:1582:1] [-349:1682:1] |
Generators of the group modulo torsion |
j |
7765791482938877569/232185882240000 |
j-invariant |
L |
7.0685104035099 |
L(r)(E,1)/r! |
Ω |
0.19375876530357 |
Real period |
R |
1.5200409971205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770w1 |
Quadratic twists by: -3 |