Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bo |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8701056 |
Modular degree for the optimal curve |
Δ |
3.6723769797549E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107345888,-418079064319] |
[a1,a2,a3,a4,a6] |
j |
218876902456505198273940625/5875803167607868796928 |
j-invariant |
L |
1.6912874520915 |
L(r)(E,1)/r! |
Ω |
0.046980207002614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050cg1 31350s1 |
Quadratic twists by: -3 5 |