Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ev |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-2912454144000000000 = -1 · 218 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89925,-81449750] |
[a1,a2,a3,a4,a6] |
Generators |
[1005:32000:1] |
Generators of the group modulo torsion |
j |
1723683599/62424000 |
j-invariant |
L |
7.5435080672142 |
L(r)(E,1)/r! |
Ω |
0.12220865368739 |
Real period |
R |
1.9289520012029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650bw1 20400dl1 12240bs1 |
Quadratic twists by: -4 -3 5 |