Atkin-Lehner |
3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725j |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-3380078647265625 = -1 · 35 · 58 · 19 · 374 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 5 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37487,156656] |
[a1,a2,a3,a4,a6] |
Generators |
[135:2707:1] |
Generators of the group modulo torsion |
j |
14914373399375/8653001337 |
j-invariant |
L |
2.5088622729994 |
L(r)(E,1)/r! |
Ω |
0.26821978150775 |
Real period |
R |
0.77947963014211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52725n1 |
Quadratic twists by: 5 |