Atkin-Lehner |
2- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650w |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-4.600077746176E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11- -3 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49976005,136001223997] |
[a1,a2,a3,a4,a6] |
Generators |
[4159:-10880:1] [4049:2100:1] |
Generators of the group modulo torsion |
j |
-883462840184880403984089/29440497575526400 |
j-invariant |
L |
12.991520682151 |
L(r)(E,1)/r! |
Ω |
0.15559163758019 |
Real period |
R |
0.2108524013225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330b1 |
Quadratic twists by: 5 |