Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410f |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-1218801431250 = -1 · 2 · 37 · 55 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 1 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-397,-53369] |
[a1,a2,a3,a4,a6] |
j |
-6947097508441/1218801431250 |
j-invariant |
L |
1.9234459598207 |
L(r)(E,1)/r! |
Ω |
0.38468919196414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280bz1 22230bi1 37050cf1 96330cd1 |
Quadratic twists by: -4 -3 5 13 |