Atkin-Lehner |
3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605h |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
338829781775625 = 37 · 54 · 78 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4704417,3925455696] |
[a1,a2,a3,a4,a6] |
Generators |
[-368:75064:1] |
Generators of the group modulo torsion |
j |
97870779730288961929/2880005625 |
j-invariant |
L |
5.0183895196345 |
L(r)(E,1)/r! |
Ω |
0.39563001615878 |
Real period |
R |
6.3422760087299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815m1 4515f1 |
Quadratic twists by: -3 -7 |