Atkin-Lehner |
2+ 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360r |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
5443210631250000 = 24 · 310 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61122,4607489] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:2835:1] [-107:3150:1] |
Generators of the group modulo torsion |
j |
2165054687647744/466667578125 |
j-invariant |
L |
12.418476791356 |
L(r)(E,1)/r! |
Ω |
0.40497074876375 |
Real period |
R |
0.63885667615036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120t1 |
Quadratic twists by: -3 |