Atkin-Lehner |
3- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
61677p |
Isogeny class |
Conductor |
61677 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-1866080007099 = -1 · 38 · 74 · 113 · 89 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- 5 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1083,67140] |
[a1,a2,a3,a4,a6] |
Generators |
[47:346:1] |
Generators of the group modulo torsion |
j |
-192699928576/2559780531 |
j-invariant |
L |
3.1383094627561 |
L(r)(E,1)/r! |
Ω |
0.70676211421998 |
Real period |
R |
0.18501684177847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20559g1 |
Quadratic twists by: -3 |