Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
118354h |
Isogeny class |
Conductor |
118354 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2265600 |
Modular degree for the optimal curve |
Δ |
-1.0863103095718E+19 |
Discriminant |
Eigenvalues |
2+ 0 -1 -2 4 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1245110,-557465996] |
[a1,a2,a3,a4,a6] |
Generators |
[13926:396833:8] |
Generators of the group modulo torsion |
j |
-1453888089/73984 |
j-invariant |
L |
3.188158303273 |
L(r)(E,1)/r! |
Ω |
0.071249590355786 |
Real period |
R |
3.7288615535318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118354q1 |
Quadratic twists by: -59 |