Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550h |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-257617513414656000 = -1 · 224 · 39 · 53 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14561277,21390528581] |
[a1,a2,a3,a4,a6] |
Generators |
[2209:-632:1] |
Generators of the group modulo torsion |
j |
-138778060627787972607/104706605056 |
j-invariant |
L |
2.771481602131 |
L(r)(E,1)/r! |
Ω |
0.25836999404504 |
Real period |
R |
2.6816984034608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35550bi1 35550bh1 |
Quadratic twists by: -3 5 |