Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700b |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
22809600 |
Modular degree for the optimal curve |
Δ |
2.6260896834957E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1537105633,23195996398762] |
[a1,a2,a3,a4,a6] |
Generators |
[13597:2193075:1] |
Generators of the group modulo torsion |
j |
1606552218142211899487174656/1050435873398278125 |
j-invariant |
L |
5.2034327187277 |
L(r)(E,1)/r! |
Ω |
0.081155165619623 |
Real period |
R |
0.89051508082495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540k1 |
Quadratic twists by: 5 |