Atkin-Lehner |
2- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050ca |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
26559066132812500 = 22 · 510 · 73 · 172 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-245013,-46118969] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:778:1] |
Generators of the group modulo torsion |
j |
166567843612825/2719648372 |
j-invariant |
L |
9.6196131980609 |
L(r)(E,1)/r! |
Ω |
0.21479896716289 |
Real period |
R |
3.7320218324584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999766764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bf1 |
Quadratic twists by: 5 |