Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950in |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
-6.6474094851343E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2698037,-12286580083] |
[a1,a2,a3,a4,a6] |
Generators |
[28952448298:3179823985651:2406104] |
Generators of the group modulo torsion |
j |
1181569139409959/36161310937500 |
j-invariant |
L |
12.682229656359 |
L(r)(E,1)/r! |
Ω |
0.053099479830275 |
Real period |
R |
14.927440968738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990c1 17850bd1 |
Quadratic twists by: 5 -7 |