Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150ba |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
184800 |
Modular degree for the optimal curve |
Δ |
-1985629788000000000 = -1 · 211 · 37 · 59 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 -3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97638,-68814108] |
[a1,a2,a3,a4,a6] |
Generators |
[2052:-92526:1] |
Generators of the group modulo torsion |
j |
-52704849262157/1016642451456 |
j-invariant |
L |
7.6054405810665 |
L(r)(E,1)/r! |
Ω |
0.11302291230283 |
Real period |
R |
0.14565181753239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200cc1 27450bc1 9150g1 |
Quadratic twists by: -4 -3 5 |