Atkin-Lehner |
5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
18025f |
Isogeny class |
Conductor |
18025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60960 |
Modular degree for the optimal curve |
Δ |
14939626953125 = 59 · 7 · 1033 |
Discriminant |
Eigenvalues |
-2 2 5- 7- 0 5 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12208,-480682] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:163:1] |
Generators of the group modulo torsion |
j |
103029788672/7649089 |
j-invariant |
L |
3.8818809220774 |
L(r)(E,1)/r! |
Ω |
0.45631836878268 |
Real period |
R |
4.2534786978147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18025e1 126175k1 |
Quadratic twists by: 5 -7 |