Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9030bb |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-89579694960000000 = -1 · 210 · 312 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15555,14381937] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-6207:1] |
Generators of the group modulo torsion |
j |
416228691255315119/89579694960000000 |
j-invariant |
L |
7.9385574315645 |
L(r)(E,1)/r! |
Ω |
0.26243031363379 |
Real period |
R |
0.072024176461515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240cb1 27090n1 45150h1 63210bj1 |
Quadratic twists by: -4 -3 5 -7 |