Atkin-Lehner |
2- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12298b |
Isogeny class |
Conductor |
12298 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
152320 |
Modular degree for the optimal curve |
Δ |
-314165480602468352 = -1 · 228 · 115 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 1 2 -4 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,168753,-3895303] |
[a1,a2,a3,a4,a6] |
Generators |
[2758:-147811:1] |
Generators of the group modulo torsion |
j |
531469147186913624207/314165480602468352 |
j-invariant |
L |
8.1838112673636 |
L(r)(E,1)/r! |
Ω |
0.17917605584406 |
Real period |
R |
0.16312390205128 |
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 |
98384j1 110682r1 |
Quadratic twists by: -4 -3 |