Atkin-Lehner |
2+ 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114798i |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
157043664 = 24 · 33 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -6 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10078,388544] |
[a1,a2,a3,a4,a6] |
Generators |
[19999:-12109:343] [28:344:1] |
Generators of the group modulo torsion |
j |
16501522777579/22896 |
j-invariant |
L |
10.826596967541 |
L(r)(E,1)/r! |
Ω |
1.5467534310069 |
Real period |
R |
0.58329685625476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114798m1 |
Quadratic twists by: -19 |