Atkin-Lehner |
3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38325d |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-181085625 = -1 · 34 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -3 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,112,506] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-23:1] [-18:131:8] |
Generators of the group modulo torsion |
j |
248459375/289737 |
j-invariant |
L |
4.5228314624053 |
L(r)(E,1)/r! |
Ω |
1.2015032259232 |
Real period |
R |
0.31369255923351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975bf1 38325n1 |
Quadratic twists by: -3 5 |