Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114308b |
Isogeny class |
Conductor |
114308 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
15309243961237648 = 24 · 173 · 417 |
Discriminant |
Eigenvalues |
2- -1 0 1 0 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64438,2071241] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:1579:1] [260:1681:1] |
Generators of the group modulo torsion |
j |
389344000/201433 |
j-invariant |
L |
10.319273095462 |
L(r)(E,1)/r! |
Ω |
0.34641481528844 |
Real period |
R |
2.4823979428208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788b1 |
Quadratic twists by: 41 |