Atkin-Lehner |
5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35075d |
Isogeny class |
Conductor |
35075 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-153365985546875 = -1 · 58 · 235 · 61 |
Discriminant |
Eigenvalues |
-2 0 5+ 5 -3 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12425,266156] |
[a1,a2,a3,a4,a6] |
Generators |
[35:862:1] |
Generators of the group modulo torsion |
j |
13576658006016/9815423075 |
j-invariant |
L |
3.0408848165168 |
L(r)(E,1)/r! |
Ω |
0.36714920245341 |
Real period |
R |
0.82824225034304 |
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 |
7015a1 |
Quadratic twists by: 5 |