Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10175d |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-5.1545565491245E+20 |
Discriminant |
Eigenvalues |
2 0 5+ -1 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9137825,10687902281] |
[a1,a2,a3,a4,a6] |
Generators |
[-22843590:21155071819:195112] |
Generators of the group modulo torsion |
j |
-5400477932182072602624/32989161914396875 |
j-invariant |
L |
8.2549757315344 |
L(r)(E,1)/r! |
Ω |
0.16592275031857 |
Real period |
R |
12.437980499487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575bn1 2035b1 111925l1 |
Quadratic twists by: -3 5 -11 |