Atkin-Lehner |
2+ 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184q |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-10907151024 = -1 · 24 · 3 · 7 · 113 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1251,-17346] |
[a1,a2,a3,a4,a6] |
Generators |
[310:5412:1] |
Generators of the group modulo torsion |
j |
-13543246096384/681696939 |
j-invariant |
L |
5.0437370141444 |
L(r)(E,1)/r! |
Ω |
0.40017927517959 |
Real period |
R |
4.2012312437348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53592f1 |
Quadratic twists by: -4 |