Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390ca |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
282880 |
Modular degree for the optimal curve |
Δ |
-46784102400000 = -1 · 217 · 32 · 55 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -5 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11180,556877] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:361:1] [237:-3479:1] |
Generators of the group modulo torsion |
j |
-450564977166247/136396800000 |
j-invariant |
L |
12.537804959941 |
L(r)(E,1)/r! |
Ω |
0.60348286369237 |
Real period |
R |
0.061105126855448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390cl1 |
Quadratic twists by: -7 |