Atkin-Lehner |
2+ 3- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310n |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7402752 |
Modular degree for the optimal curve |
Δ |
-1.0747090061882E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315225,4988281261] |
[a1,a2,a3,a4,a6] |
Generators |
[22194986:1220782745:10648] |
Generators of the group modulo torsion |
j |
-4751808378633363601/14742236024528832000 |
j-invariant |
L |
4.9472410622478 |
L(r)(E,1)/r! |
Ω |
0.10289352697128 |
Real period |
R |
6.0101461247177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34770u1 |
Quadratic twists by: -3 |