Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11655j |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1.9557546555297E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1232033,-567428848] |
[a1,a2,a3,a4,a6] |
Generators |
[2518:109603:1] |
Generators of the group modulo torsion |
j |
-283702311983803333321/26827910226744375 |
j-invariant |
L |
2.3789749160067 |
L(r)(E,1)/r! |
Ω |
0.071266493319746 |
Real period |
R |
3.3381394329774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3885k1 58275k1 81585x1 |
Quadratic twists by: -3 5 -7 |