Atkin-Lehner |
2- 3+ 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194p |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-8717262667776 = -1 · 214 · 33 · 132 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 4 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5630,213563] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-533:1] |
Generators of the group modulo torsion |
j |
-19735753759607521/8717262667776 |
j-invariant |
L |
7.7590771721444 |
L(r)(E,1)/r! |
Ω |
0.68594794934107 |
Real period |
R |
0.13466031412993 |
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 |
75582h1 |
Quadratic twists by: -3 |