Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328m |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3214688256 = 214 · 33 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1617,25425] |
[a1,a2,a3,a4,a6] |
Generators |
[7:120:1] |
Generators of the group modulo torsion |
j |
28556329552/196209 |
j-invariant |
L |
7.7520354814521 |
L(r)(E,1)/r! |
Ω |
1.4243884313708 |
Real period |
R |
2.7211802965292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328ch1 13416f1 |
Quadratic twists by: -4 8 |