Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490t |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-11085760 = -1 · 26 · 5 · 73 · 101 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,55,55] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1344:1] |
Generators of the group modulo torsion |
j |
53582633/32320 |
j-invariant |
L |
13.84192516599 |
L(r)(E,1)/r! |
Ω |
1.3942664275403 |
Real period |
R |
3.3092491966999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49490j1 |
Quadratic twists by: -7 |