Atkin-Lehner |
2+ 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190f |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2063893500 = -1 · 22 · 33 · 53 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-774,8768] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-86:1] [-8:124:1] |
Generators of the group modulo torsion |
j |
-1900633644603/76440500 |
j-invariant |
L |
6.0818728515282 |
L(r)(E,1)/r! |
Ω |
1.4587058120374 |
Real period |
R |
0.34744684873746 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35190bb1 |
Quadratic twists by: -3 |