Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215z |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-82608262935524235 = -1 · 310 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-328085,73750991] |
[a1,a2,a3,a4,a6] |
Generators |
[1001:27337:1] |
Generators of the group modulo torsion |
j |
-13958643712/295245 |
j-invariant |
L |
5.6766333142931 |
L(r)(E,1)/r! |
Ω |
0.34179912332432 |
Real period |
R |
4.1520244330999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215ca1 124215d1 |
Quadratic twists by: -7 13 |