Atkin-Lehner |
2+ 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670f |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3401216 |
Modular degree for the optimal curve |
Δ |
-6.690323310821E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8427388,-9428190512] |
[a1,a2,a3,a4,a6] |
Generators |
[56278649842103977764629:-130651065655784470852927:16782190674005314277] |
Generators of the group modulo torsion |
j |
-1640289107353866607/1657924485120 |
j-invariant |
L |
3.2726386694963 |
L(r)(E,1)/r! |
Ω |
0.04430165839265 |
Real period |
R |
36.935848356877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670z1 |
Quadratic twists by: -7 |