Atkin-Lehner |
3- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275p |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
490413962394140625 = 312 · 58 · 292 · 532 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-212751,-17088227] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:2001:1] |
Generators of the group modulo torsion |
j |
68157802849148641/31386493593225 |
j-invariant |
L |
7.9773039481673 |
L(r)(E,1)/r! |
Ω |
0.23228985148487 |
Real period |
R |
2.8618354326807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020795 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23055f2 |
Quadratic twists by: 5 |