Atkin-Lehner |
3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5415a |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-308655 = -1 · 32 · 5 · 193 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12,27] |
[a1,a2,a3,a4,a6] |
Generators |
[2:7:1] |
Generators of the group modulo torsion |
j |
24389/45 |
j-invariant |
L |
3.6955605062693 |
L(r)(E,1)/r! |
Ω |
2.1062953588999 |
Real period |
R |
1.7545310018626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640da1 16245g1 27075n1 5415f1 |
Quadratic twists by: -4 -3 5 -19 |