Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850cz |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
22118400 |
Modular degree for the optimal curve |
Δ |
-2.8897195997069E+24 |
Discriminant |
Eigenvalues |
2- 1 5- -3 11- -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51177013,162926714017] |
[a1,a2,a3,a4,a6] |
Generators |
[5202:190999:1] [-1134:469079:1] |
Generators of the group modulo torsion |
j |
-21420636414894985/4175798730752 |
j-invariant |
L |
17.700521890292 |
L(r)(E,1)/r! |
Ω |
0.077099470187942 |
Real period |
R |
0.79715392724395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850r1 9350n1 |
Quadratic twists by: 5 -11 |