Atkin-Lehner |
3- 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34515i |
Isogeny class |
Conductor |
34515 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3029760 |
Modular degree for the optimal curve |
Δ |
-7.7065523438324E+21 |
Discriminant |
Eigenvalues |
1 3- 5- -4 4 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1201014,-4253626305] |
[a1,a2,a3,a4,a6] |
j |
-262809219818047832929/10571402392088273775 |
j-invariant |
L |
0.34534038922879 |
L(r)(E,1)/r! |
Ω |
0.057556731538909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11505d1 |
Quadratic twists by: -3 |