Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94380c |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
22989989987250000 = 24 · 3 · 56 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72761,1986690] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:2907:1] |
Generators of the group modulo torsion |
j |
1129201664/609375 |
j-invariant |
L |
5.4394052839567 |
L(r)(E,1)/r! |
Ω |
0.33206490638419 |
Real period |
R |
5.4601828189822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94380a1 |
Quadratic twists by: -11 |