Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200eq |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1096453324800 = 217 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41475,3250690] |
[a1,a2,a3,a4,a6] |
Generators |
[161:864:1] |
Generators of the group modulo torsion |
j |
105695235625/14688 |
j-invariant |
L |
5.2358356254873 |
L(r)(E,1)/r! |
Ω |
0.84067779668464 |
Real period |
R |
0.3892570112739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650n1 20400di1 61200hf1 |
Quadratic twists by: -4 -3 5 |