Atkin-Lehner |
2+ 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576i |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-47345963664384 = -1 · 210 · 33 · 73 · 115 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- -4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5664,371376] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:726:1] |
Generators of the group modulo torsion |
j |
-19627733994628/46236292641 |
j-invariant |
L |
7.3784674566694 |
L(r)(E,1)/r! |
Ω |
0.56414289418766 |
Real period |
R |
1.3079075388868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57288q1 |
Quadratic twists by: -4 |