Atkin-Lehner |
2+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198g |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1058400 |
Modular degree for the optimal curve |
Δ |
199767773388227968 = 27 · 78 · 115 · 412 |
Discriminant |
Eigenvalues |
2+ -3 2 7+ 11- -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-301261,59977189] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:11227:1] |
Generators of the group modulo torsion |
j |
524528321979753/34653021568 |
j-invariant |
L |
2.6781951653643 |
L(r)(E,1)/r! |
Ω |
0.31178372150618 |
Real period |
R |
0.28633044646143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198t1 |
Quadratic twists by: -7 |