Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bd |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
325708903520 = 25 · 5 · 76 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-723496108,-7490174313009] |
[a1,a2,a3,a4,a6] |
Generators |
[29282097:-30499651051:27] |
Generators of the group modulo torsion |
j |
355995140004443961140387841/2768480 |
j-invariant |
L |
7.9223510261771 |
L(r)(E,1)/r! |
Ω |
0.029109886017718 |
Real period |
R |
13.607664112401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000002976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1430h4 |
Quadratic twists by: -7 |