Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190n |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
10075968 |
Modular degree for the optimal curve |
Δ |
-2.0796542126254E+27 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 3 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,102634983,2157319730021] |
[a1,a2,a3,a4,a6] |
Generators |
[-10123:289874:1] |
Generators of the group modulo torsion |
j |
20740806010942016877479/360750390625000000000 |
j-invariant |
L |
5.5281278716064 |
L(r)(E,1)/r! |
Ω |
0.03460562711499 |
Real period |
R |
0.78307108688541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520cd1 75950cb1 15190f1 |
Quadratic twists by: -4 5 -7 |