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 |
Δ |
1148385558528 = 216 · 36 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2657,-10143] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1160:27] |
Generators of the group modulo torsion |
j |
31665174628/17522973 |
j-invariant |
L |
7.7520354814521 |
L(r)(E,1)/r! |
Ω |
0.71219421568538 |
Real period |
R |
5.4423605930583 |
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 |
107328ch2 13416f2 |
Quadratic twists by: -4 8 |