Atkin-Lehner |
2+ 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56050d |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
112100000000 = 28 · 58 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-5602] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:101:1] [-17:112:1] |
Generators of the group modulo torsion |
j |
13841287201/7174400 |
j-invariant |
L |
3.8021482684541 |
L(r)(E,1)/r! |
Ω |
0.84955075960745 |
Real period |
R |
2.2377404913461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210d1 |
Quadratic twists by: 5 |