Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350b |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-1.3732869085954E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,379500,154080000] |
[a1,a2,a3,a4,a6] |
Generators |
[80:13560:1] |
Generators of the group modulo torsion |
j |
386845223361981119/878903621501040 |
j-invariant |
L |
2.7953448446656 |
L(r)(E,1)/r! |
Ω |
0.15524186913673 |
Real period |
R |
4.501596222929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670x1 |
Quadratic twists by: 5 |