Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525s |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
234791188696575 = 38 · 52 · 76 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 5 1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-747765,-249194070] |
[a1,a2,a3,a4,a6] |
Generators |
[-113442066:64152540:226981] |
Generators of the group modulo torsion |
j |
15721420060947505/79827687 |
j-invariant |
L |
7.6542438331251 |
L(r)(E,1)/r! |
Ω |
0.16235225604541 |
Real period |
R |
7.8576506242164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525da1 1725o1 |
Quadratic twists by: 5 -7 |