Atkin-Lehner |
2- 3+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370o |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
3120 |
Product of Tamagawa factors cp |
deg |
6739200 |
Modular degree for the optimal curve |
Δ |
-3.2246464119362E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19691410,-271125389653] |
[a1,a2,a3,a4,a6] |
Generators |
[207657:94544671:1] |
Generators of the group modulo torsion |
j |
844411530981894655045047839/32246464119362467200000000 |
j-invariant |
L |
6.6233842213876 |
L(r)(E,1)/r! |
Ω |
0.031602595315429 |
Real period |
R |
0.067174215818301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70110m1 116850bi1 |
Quadratic twists by: -3 5 |