Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096f |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-267531289344 = -1 · 28 · 36 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11+ 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5556,-161332] |
[a1,a2,a3,a4,a6] |
Generators |
[14245:103493:125] |
Generators of the group modulo torsion |
j |
-101634915328/1433531 |
j-invariant |
L |
6.7047384620131 |
L(r)(E,1)/r! |
Ω |
0.27625789735342 |
Real period |
R |
6.0674631623613 |
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 |
15048h1 120384dm1 3344c1 |
Quadratic twists by: -4 8 -3 |