Atkin-Lehner |
2- 3+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954o |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-479512671289344 = -1 · 220 · 33 · 73 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20747,1551161] |
[a1,a2,a3,a4,a6] |
Generators |
[83:598:1] |
Generators of the group modulo torsion |
j |
-987622422234687793/479512671289344 |
j-invariant |
L |
8.0284933066758 |
L(r)(E,1)/r! |
Ω |
0.48968923013647 |
Real period |
R |
1.6395078373356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862o1 |
Quadratic twists by: -3 |