Atkin-Lehner |
3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118203f |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
595200 |
Modular degree for the optimal curve |
Δ |
-8497353406024683 = -1 · 35 · 318 · 41 |
Discriminant |
Eigenvalues |
0 3- 0 2 -3 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-99303,-12868333] |
[a1,a2,a3,a4,a6] |
Generators |
[57345:773897:125] |
Generators of the group modulo torsion |
j |
-126976000/9963 |
j-invariant |
L |
5.6007621362978 |
L(r)(E,1)/r! |
Ω |
0.13386856321825 |
Real period |
R |
8.3675539872942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118203b1 |
Quadratic twists by: -31 |