Atkin-Lehner |
2- 3- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770y |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-5.04287508473E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,718669,248541921] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:7897:1] |
Generators of the group modulo torsion |
j |
41049739918558405015631/50428750847300075520 |
j-invariant |
L |
10.059250931242 |
L(r)(E,1)/r! |
Ω |
0.13418297142083 |
Real period |
R |
0.44623019601016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310u1 |
Quadratic twists by: -3 |