Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950bt |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-42188196093750 = -1 · 2 · 33 · 58 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3700,322750] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:620:1] |
Generators of the group modulo torsion |
j |
-121945/918 |
j-invariant |
L |
2.0814299693996 |
L(r)(E,1)/r! |
Ω |
0.55189748546412 |
Real period |
R |
0.62856780368996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950ig1 2550q1 |
Quadratic twists by: 5 -7 |