Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880k |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-49489096832000 = -1 · 210 · 53 · 72 · 534 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11160,562400] |
[a1,a2,a3,a4,a6] |
Generators |
[508:11236:1] |
Generators of the group modulo torsion |
j |
-3063791267236/986310125 |
j-invariant |
L |
9.1409265983441 |
L(r)(E,1)/r! |
Ω |
0.59952378786422 |
Real period |
R |
1.2705815803535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103880a1 |
Quadratic twists by: -7 |