Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7070f |
Isogeny class |
Conductor |
7070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-31240562500 = -1 · 22 · 56 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,782,981] |
[a1,a2,a3,a4,a6] |
Generators |
[1:41:1] |
Generators of the group modulo torsion |
j |
52949823995151/31240562500 |
j-invariant |
L |
5.8462344967023 |
L(r)(E,1)/r! |
Ω |
0.71304542392403 |
Real period |
R |
2.0497412579024 |
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 |
56560f2 63630v2 35350a2 49490p2 |
Quadratic twists by: -4 -3 5 -7 |