Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850dw |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
23607936000000 = 213 · 36 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19355,-1004853] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:186:1] |
Generators of the group modulo torsion |
j |
70393838689/2072576 |
j-invariant |
L |
11.009281846105 |
L(r)(E,1)/r! |
Ω |
0.40549446606384 |
Real period |
R |
1.0442409251922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650n1 4554h1 |
Quadratic twists by: -3 5 |