Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bh |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77220864 |
Modular degree for the optimal curve |
Δ |
4.1753332400777E+28 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -1 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1065374175,9082563266281] |
[a1,a2,a3,a4,a6] |
Generators |
[-3807304055014756415640208021726120:10243800462566068604217924890149324589:3183356049002573078609872451072] |
Generators of the group modulo torsion |
j |
1914902401024/597871125 |
j-invariant |
L |
14.297347410121 |
L(r)(E,1)/r! |
Ω |
0.033485012704774 |
Real period |
R |
53.372188985623 |
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 |
27075j1 16245n1 81225v1 |
Quadratic twists by: -3 5 -19 |