Atkin-Lehner |
2+ 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35650a |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
-390834087200 = -1 · 25 · 52 · 232 · 314 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -1 -2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-265,-30235] |
[a1,a2,a3,a4,a6] |
Generators |
[3476:20365:64] |
Generators of the group modulo torsion |
j |
-82809375745/15633363488 |
j-invariant |
L |
3.5694163480232 |
L(r)(E,1)/r! |
Ω |
0.42323689055135 |
Real period |
R |
2.1084033715569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35650r1 |
Quadratic twists by: 5 |