Atkin-Lehner |
3+ 5- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
123225i |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
46045418361328125 = 315 · 59 · 31 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 1 -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-661450,206525875] |
[a1,a2,a3,a4,a6] |
Generators |
[-774:16373:1] |
Generators of the group modulo torsion |
j |
16386483362857973/23575254201 |
j-invariant |
L |
5.1347101261815 |
L(r)(E,1)/r! |
Ω |
0.35840800679456 |
Real period |
R |
7.1632190789915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999639966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123225q1 |
Quadratic twists by: 5 |