Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bx |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1481760 |
Modular degree for the optimal curve |
Δ |
71293088081250000 = 24 · 36 · 58 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -7 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292500,59518125] |
[a1,a2,a3,a4,a6] |
Generators |
[175:3700:1] |
Generators of the group modulo torsion |
j |
607426560000/15647317 |
j-invariant |
L |
3.8848275712155 |
L(r)(E,1)/r! |
Ω |
0.3451499718786 |
Real period |
R |
3.7518256522724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300t1 119700bn1 |
Quadratic twists by: -3 5 |