Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112v |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33841152 |
Modular degree for the optimal curve |
Δ |
-9.9288233418249E+19 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 11- 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1794050785,-29248870007589] |
[a1,a2,a3,a4,a6] |
j |
-21203116761178214318777344/3296625230899 |
j-invariant |
L |
0.55673852468072 |
L(r)(E,1)/r! |
Ω |
0.01159874166996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56056e1 16016b1 |
Quadratic twists by: -4 -7 |