Atkin-Lehner |
3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175z |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
2416025390625 = 33 · 510 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-129063,-17857008] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:105:1] |
Generators of the group modulo torsion |
j |
15216303567263401/154625625 |
j-invariant |
L |
3.7565835455422 |
L(r)(E,1)/r! |
Ω |
0.25188329332928 |
Real period |
R |
2.4856640914356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635l1 |
Quadratic twists by: 5 |