Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7150g |
Isogeny class |
Conductor |
7150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1124695000000 = -1 · 26 · 57 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11- 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2600,0] |
[a1,a2,a3,a4,a6] |
j |
124326214271/71980480 |
j-invariant |
L |
3.1071005901155 |
L(r)(E,1)/r! |
Ω |
0.51785009835259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57200bf1 64350dq1 1430g1 78650cm1 |
Quadratic twists by: -4 -3 5 -11 |