Atkin-Lehner |
2- 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109040m |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
1.1176338304E+25 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73335240,-180415696400] |
[a1,a2,a3,a4,a6] |
Generators |
[-3270:156250:1] |
Generators of the group modulo torsion |
j |
10648830710801882307420361/2728598218750000000000 |
j-invariant |
L |
6.9079240708321 |
L(r)(E,1)/r! |
Ω |
0.05256645128212 |
Real period |
R |
2.1902195193036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630f1 |
Quadratic twists by: -4 |