Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950bl |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
101606400 |
Modular degree for the optimal curve |
Δ |
-2.4468452896063E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 1 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1780308450,28921907506500] |
[a1,a2,a3,a4,a6] |
Generators |
[9936:3489858:1] |
Generators of the group modulo torsion |
j |
-277118243254257855625/108658112246928 |
j-invariant |
L |
3.648270241166 |
L(r)(E,1)/r! |
Ω |
0.054567963159143 |
Real period |
R |
3.342868218471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950gy1 124950dp1 |
Quadratic twists by: 5 -7 |