Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400cw |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-137099862278470000 = -1 · 24 · 54 · 75 · 138 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1569725,757187975] |
[a1,a2,a3,a4,a6] |
Generators |
[790:3185:1] |
Generators of the group modulo torsion |
j |
-42775435251371923200/13709986227847 |
j-invariant |
L |
5.557721246993 |
L(r)(E,1)/r! |
Ω |
0.32099692133113 |
Real period |
R |
0.14428282842367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9100i1 36400bd1 |
Quadratic twists by: -4 5 |