Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1155d |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
-1369738755 = -1 · 35 · 5 · 7 · 115 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-131,1916] |
[a1,a2,a3,a4,a6] |
Generators |
[16:60:1] |
Generators of the group modulo torsion |
j |
-250523582464/1369738755 |
j-invariant |
L |
1.8839021702607 |
L(r)(E,1)/r! |
Ω |
1.3162407069044 |
Real period |
R |
0.28625496239078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18480cm1 73920dl1 3465r1 5775r1 |
Quadratic twists by: -4 8 -3 5 |