Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850bx |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4492800 |
Modular degree for the optimal curve |
Δ |
668356615937500000 = 25 · 510 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3185638,2187861892] |
[a1,a2,a3,a4,a6] |
Generators |
[648:19570:1] |
Generators of the group modulo torsion |
j |
3111893366425/581728 |
j-invariant |
L |
13.710816988493 |
L(r)(E,1)/r! |
Ω |
0.27863963610496 |
Real period |
R |
2.4603134340369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bg1 18550p1 |
Quadratic twists by: 5 -7 |