Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400b |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2.2838000371875E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375300,-2297551500] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:12042:1] |
Generators of the group modulo torsion |
j |
74251994112/29007265625 |
j-invariant |
L |
5.6822319834094 |
L(r)(E,1)/r! |
Ω |
0.068327426273194 |
Real period |
R |
5.1976127059598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800c1 23400ba1 4680l1 |
Quadratic twists by: -4 -3 5 |