Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950fa |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-3.27731407479E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2062313,2980051031] |
[a1,a2,a3,a4,a6] |
Generators |
[615:-44408:1] |
Generators of the group modulo torsion |
j |
-527690404915129/1782829440000 |
j-invariant |
L |
10.608176899785 |
L(r)(E,1)/r! |
Ω |
0.12400086097628 |
Real period |
R |
1.0693652456191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bi1 17850cd1 |
Quadratic twists by: 5 -7 |