Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94178x |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.1600804230561E+19 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-189337,166895161] |
[a1,a2,a3,a4,a6] |
Generators |
[-654:3659:1] [-540:10841:1] |
Generators of the group modulo torsion |
j |
-7189057/111104 |
j-invariant |
L |
15.66605254726 |
L(r)(E,1)/r! |
Ω |
0.19135064021191 |
Real period |
R |
0.56854804069813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13454g1 3038h1 |
Quadratic twists by: -7 -31 |