Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370ck |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
464 |
Product of Tamagawa factors cp |
deg |
521164800 |
Modular degree for the optimal curve |
Δ |
-3.5541756993378E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43840177991,3534251113896509] |
[a1,a2,a3,a4,a6] |
Generators |
[-209013:59824186:1] |
Generators of the group modulo torsion |
j |
-79204963502810190656794906124641/30209994979453807519334400 |
j-invariant |
L |
6.4845422030365 |
L(r)(E,1)/r! |
Ω |
0.024541783914547 |
Real period |
R |
2.2777979843972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130n1 |
Quadratic twists by: -7 |