Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760v |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-1735631193600000 = -1 · 212 · 39 · 55 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16173,-1841454] |
[a1,a2,a3,a4,a6] |
Generators |
[247:-4150:1] [97:800:1] |
Generators of the group modulo torsion |
j |
5802888573/21528125 |
j-invariant |
L |
9.4410477297358 |
L(r)(E,1)/r! |
Ω |
0.23970801894344 |
Real period |
R |
1.9692807464994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3735b1 59760s1 |
Quadratic twists by: -4 -3 |