Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480ca |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
-2.66379924608E+20 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4322600,-3545690000] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:23750:1] |
Generators of the group modulo torsion |
j |
-378281142378601/11281250000 |
j-invariant |
L |
4.6327441893739 |
L(r)(E,1)/r! |
Ω |
0.052260126095195 |
Real period |
R |
2.4624383476014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310f1 74480bp1 |
Quadratic twists by: -4 -7 |