Atkin-Lehner |
2+ 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050u |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
5612544 |
Modular degree for the optimal curve |
Δ |
-2.0775534558789E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1000750,-793762500] |
[a1,a2,a3,a4,a6] |
Generators |
[7381815:1078050105:343] |
Generators of the group modulo torsion |
j |
-7093836270722769121/13296342117625000 |
j-invariant |
L |
8.0447308428917 |
L(r)(E,1)/r! |
Ω |
0.071086871852141 |
Real period |
R |
8.0834001200385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610v1 |
Quadratic twists by: 5 |