Atkin-Lehner |
2- 3- 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170s |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
9106944 |
Modular degree for the optimal curve |
Δ |
-2.62864733625E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8385278,-12171458419] |
[a1,a2,a3,a4,a6] |
Generators |
[50265:11224867:1] |
Generators of the group modulo torsion |
j |
-89443447801995760127641/36058262500000000000 |
j-invariant |
L |
8.5637515291031 |
L(r)(E,1)/r! |
Ω |
0.043496262141651 |
Real period |
R |
2.2373269163521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13130b1 |
Quadratic twists by: -3 |