Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840q |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
595584 |
Modular degree for the optimal curve |
Δ |
-157300000000000 = -1 · 211 · 511 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64896,-6413420] |
[a1,a2,a3,a4,a6] |
Generators |
[294:76:1] |
Generators of the group modulo torsion |
j |
-121974450028178/634765625 |
j-invariant |
L |
2.9168833873686 |
L(r)(E,1)/r! |
Ω |
0.14951313821508 |
Real period |
R |
4.8773027832323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920v1 125840f1 |
Quadratic twists by: -4 -11 |