Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190bc |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-215429635659750400 = -1 · 210 · 52 · 710 · 313 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97642,-25206359] |
[a1,a2,a3,a4,a6] |
j |
-875066990644449/1831121689600 |
j-invariant |
L |
2.5333720047766 |
L(r)(E,1)/r! |
Ω |
0.12666860023883 |
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 |
121520cv1 75950i1 2170j1 |
Quadratic twists by: -4 5 -7 |