Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123725k |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-170846826171875 = -1 · 511 · 73 · 1012 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -5 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,12367,335418] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-1263:1] |
Generators of the group modulo torsion |
j |
39027212288/31878125 |
j-invariant |
L |
3.5436655574431 |
L(r)(E,1)/r! |
Ω |
0.36949066292728 |
Real period |
R |
1.1988346027902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24745g1 123725b1 |
Quadratic twists by: 5 -7 |