Atkin-Lehner |
2+ 3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494h |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2472539198976 = -1 · 29 · 38 · 7 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2574,91476] |
[a1,a2,a3,a4,a6] |
Generators |
[51:276:1] |
Generators of the group modulo torsion |
j |
-2587716619489/3391686144 |
j-invariant |
L |
4.7085898675419 |
L(r)(E,1)/r! |
Ω |
0.73498906963664 |
Real period |
R |
3.2031699805515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498bi1 |
Quadratic twists by: -3 |