Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bx |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
64516500000000 = 28 · 37 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -1 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1119333,456186537] |
[a1,a2,a3,a4,a6] |
Generators |
[193:15726:1] [617:-250:1] |
Generators of the group modulo torsion |
j |
310193018568704/129033 |
j-invariant |
L |
8.844675765987 |
L(r)(E,1)/r! |
Ω |
0.50459329150847 |
Real period |
R |
4.3820815272333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700t1 70800dc1 |
Quadratic twists by: -4 5 |