Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cc |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7.244236027056E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70456832,227658891264] |
[a1,a2,a3,a4,a6] |
Generators |
[4858:2366:1] |
Generators of the group modulo torsion |
j |
-1956469094246217097/36641439744 |
j-invariant |
L |
3.1269366310578 |
L(r)(E,1)/r! |
Ω |
0.1475684407187 |
Real period |
R |
2.6487172797354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098x3 4368p3 |
Quadratic twists by: -4 13 |