Atkin-Lehner |
2+ 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582d |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
217600 |
Modular degree for the optimal curve |
Δ |
-1128212201472 = -1 · 220 · 3 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 0 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5029,144397] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:539:1] |
Generators of the group modulo torsion |
j |
-2863892962601/229638144 |
j-invariant |
L |
4.1134614715099 |
L(r)(E,1)/r! |
Ω |
0.85216269261391 |
Real period |
R |
1.2067711346856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000275924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582v1 |
Quadratic twists by: 17 |