Atkin-Lehner |
5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
93925m |
Isogeny class |
Conductor |
93925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
655198017645925 = 52 · 13 · 1710 |
Discriminant |
Eigenvalues |
-2 -3 5+ -2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-67915,-6700104] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:144:1] [1224:41760:1] |
Generators of the group modulo torsion |
j |
57409966080/1085773 |
j-invariant |
L |
3.1717039703949 |
L(r)(E,1)/r! |
Ω |
0.29607855711612 |
Real period |
R |
2.6780932750015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93925r1 5525f1 |
Quadratic twists by: 5 17 |