Atkin-Lehner |
2- 3+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236c |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
73050768 = 24 · 33 · 73 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16665,828049] |
[a1,a2,a3,a4,a6] |
Generators |
[83:129:1] |
Generators of the group modulo torsion |
j |
1184829665184000/169099 |
j-invariant |
L |
6.3384881679183 |
L(r)(E,1)/r! |
Ω |
1.5160812619079 |
Real period |
R |
2.0904183262812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094455 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124236g2 |
Quadratic twists by: -3 |