Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7605k |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-96490551571171875 = -1 · 39 · 57 · 137 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 5 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-100893,19378089] |
[a1,a2,a3,a4,a6] |
j |
-32278933504/27421875 |
j-invariant |
L |
4.9432729460596 |
L(r)(E,1)/r! |
Ω |
0.30895455912873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680dj1 2535k1 38025bq1 585i1 |
Quadratic twists by: -4 -3 5 13 |