Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560c |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2339232000 = 28 · 3 · 53 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-796,8596] |
[a1,a2,a3,a4,a6] |
Generators |
[30:104:1] |
Generators of the group modulo torsion |
j |
218156637904/9137625 |
j-invariant |
L |
3.8640410431646 |
L(r)(E,1)/r! |
Ω |
1.4410216027904 |
Real period |
R |
2.6814594838069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120s1 |
Quadratic twists by: -4 |