Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122100w |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
1200 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-8.1369086144569E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,967467,-232486812] |
[a1,a2,a3,a4,a6] |
Generators |
[243:4125:1] [903:-37125:1] |
Generators of the group modulo torsion |
j |
400582281229500416/325476344578275 |
j-invariant |
L |
12.731631828816 |
L(r)(E,1)/r! |
Ω |
0.10670250803461 |
Real period |
R |
0.3977298523288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420e1 |
Quadratic twists by: 5 |