Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144j |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-2.1367155222366E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -2 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432621,694704654] |
[a1,a2,a3,a4,a6] |
Generators |
[246:28566:1] |
Generators of the group modulo torsion |
j |
1888152282/45054401 |
j-invariant |
L |
4.995530914965 |
L(r)(E,1)/r! |
Ω |
0.13316093497444 |
Real period |
R |
1.8757494142841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144bd1 11592b1 |
Quadratic twists by: -3 -7 |