Atkin-Lehner |
3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27195i |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-3149472921328125 = -1 · 33 · 57 · 79 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -3 -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36333,445446] |
[a1,a2,a3,a4,a6] |
Generators |
[62:1684:1] |
Generators of the group modulo torsion |
j |
45083805930071/26770078125 |
j-invariant |
L |
4.9810184945152 |
L(r)(E,1)/r! |
Ω |
0.2737733944697 |
Real period |
R |
0.64978380388583 |
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 |
81585p1 3885f1 |
Quadratic twists by: -3 -7 |