Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980p |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5753695101847907760 = -1 · 24 · 32 · 5 · 73 · 1312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-274681,-128111320] |
[a1,a2,a3,a4,a6] |
Generators |
[89544168408:2884084838947:67917312] |
Generators of the group modulo torsion |
j |
-29677755744256/74501796915 |
j-invariant |
L |
7.598203186477 |
L(r)(E,1)/r! |
Ω |
0.097106629833384 |
Real period |
R |
13.040996271582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5460g3 |
Quadratic twists by: 13 |