Atkin-Lehner |
2- 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810o |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-622376460 = -1 · 22 · 310 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -1 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,204,513] |
[a1,a2,a3,a4,a6] |
Generators |
[97:923:1] |
Generators of the group modulo torsion |
j |
938601300671/622376460 |
j-invariant |
L |
6.356757971324 |
L(r)(E,1)/r! |
Ω |
1.0190083524883 |
Real period |
R |
1.5595451096651 |
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 |
126480bu1 47430o1 79050u1 |
Quadratic twists by: -4 -3 5 |