Atkin-Lehner |
3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215s |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
558321352210125 = 321 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-151077,22573327] |
[a1,a2,a3,a4,a6] |
j |
523107854001270784/765872911125 |
j-invariant |
L |
6.2132487659932 |
L(r)(E,1)/r! |
Ω |
0.51777073049943 |
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 |
6405a1 96075bt1 |
Quadratic twists by: -3 5 |