Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245bb |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
2346418127025 = 35 · 52 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-814308,-282901307] |
[a1,a2,a3,a4,a6] |
Generators |
[48939173:1555630278:29791] |
Generators of the group modulo torsion |
j |
507575685387993769/19944225 |
j-invariant |
L |
9.3154563060138 |
L(r)(E,1)/r! |
Ω |
0.15892874144354 |
Real period |
R |
11.722808878218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035a1 |
Quadratic twists by: -7 |