Atkin-Lehner |
2+ 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184j |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-379509766220676096 = -1 · 210 · 316 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -4 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,139535,21771289] |
[a1,a2,a3,a4,a6] |
Generators |
[2296:111537:1] |
Generators of the group modulo torsion |
j |
293406758350451456/370615006074879 |
j-invariant |
L |
4.8997971097787 |
L(r)(E,1)/r! |
Ω |
0.20208555972497 |
Real period |
R |
2.0205126328607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184bg1 12648g1 |
Quadratic twists by: -4 8 |