Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cb |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-8363978628370312500 = -1 · 22 · 33 · 58 · 79 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,155550,-137061000] |
[a1,a2,a3,a4,a6] |
Generators |
[31814:5659126:1] |
Generators of the group modulo torsion |
j |
9056932295/181997172 |
j-invariant |
L |
3.6569493704004 |
L(r)(E,1)/r! |
Ω |
0.11308077466909 |
Real period |
R |
8.0848168267733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999209277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950io1 17850ba1 |
Quadratic twists by: 5 -7 |