Atkin-Lehner |
2+ 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68894c |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
313320 |
Modular degree for the optimal curve |
Δ |
-8263580667776 = -1 · 27 · 72 · 19 · 375 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 2 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6673,-249635] |
[a1,a2,a3,a4,a6] |
j |
-670698932263353/168644503424 |
j-invariant |
L |
0.26066439183184 |
L(r)(E,1)/r! |
Ω |
0.26066436365569 |
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 |
68894a1 |
Quadratic twists by: -7 |