Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928bw |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-30032068117266432 = -1 · 230 · 39 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76620,-11668624] |
[a1,a2,a3,a4,a6] |
Generators |
[1110125190:-40309895168:804357] |
Generators of the group modulo torsion |
j |
-260305116625/157151232 |
j-invariant |
L |
6.8437216027184 |
L(r)(E,1)/r! |
Ω |
0.13962828043235 |
Real period |
R |
12.253466026542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928df1 3654m1 38976j1 |
Quadratic twists by: -4 8 -3 |