Atkin-Lehner |
2+ 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330c |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-1.0663515413792E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-799193,-317045403] |
[a1,a2,a3,a4,a6] |
j |
-56452031497493178380569/10663515413791632000 |
j-invariant |
L |
1.5805763355108 |
L(r)(E,1)/r! |
Ω |
0.079028816775539 |
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 |
122640cr1 45990ch1 76650cu1 107310bq1 |
Quadratic twists by: -4 -3 5 -7 |