Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344eu |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3833856 |
Modular degree for the optimal curve |
Δ |
-3.7937042005271E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342732,-2964403312] |
[a1,a2,a3,a4,a6] |
Generators |
[5866753847224544:175910292874421028:3087262840481] |
Generators of the group modulo torsion |
j |
-169/144 |
j-invariant |
L |
6.3900955819924 |
L(r)(E,1)/r! |
Ω |
0.062990064237704 |
Real period |
R |
25.361521929388 |
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 |
97344bd1 24336bn1 32448cd1 97344ex1 |
Quadratic twists by: -4 8 -3 13 |