Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fe |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.1279480395042E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11523219521,-476107872887583] |
[a1,a2,a3,a4,a6] |
Generators |
[24807641706013814482172229214067990212827003101927446575791495:9965448184788945637330824499868831834408556690524131720626834796:111389552413672232514798069709963902311993134793875461125] |
Generators of the group modulo torsion |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
5.5645118671033 |
L(r)(E,1)/r! |
Ω |
0.0072857807872399 |
Real period |
R |
95.468694941537 |
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 |
122304dd2 30576cu2 17472cs2 |
Quadratic twists by: -4 8 -7 |