Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224v |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
854958034826590464 = 28 · 36 · 74 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-641684,-192994884] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:1680:1] |
Generators of the group modulo torsion |
j |
114142677369553982032/3339679823541369 |
j-invariant |
L |
5.9443997208342 |
L(r)(E,1)/r! |
Ω |
0.16898421532476 |
Real period |
R |
2.9314373685712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112n2 |
Quadratic twists by: -4 |