Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215d |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-17114466915 = -1 · 310 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1941,34166] |
[a1,a2,a3,a4,a6] |
Generators |
[26:24:1] [96:850:1] |
Generators of the group modulo torsion |
j |
-13958643712/295245 |
j-invariant |
L |
7.639349656025 |
L(r)(E,1)/r! |
Ω |
1.2323742650545 |
Real period |
R |
1.5497219218666 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215cs1 124215z1 |
Quadratic twists by: -7 13 |