Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630n |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-871199469000000000 = -1 · 29 · 36 · 59 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,237653,-5209091] |
[a1,a2,a3,a4,a6] |
Generators |
[253:-8564:1] |
Generators of the group modulo torsion |
j |
30293864574071196791/17779581000000000 |
j-invariant |
L |
3.6359325511387 |
L(r)(E,1)/r! |
Ω |
0.16515880460173 |
Real period |
R |
1.2230425942351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890ez2 42630bc2 |
Quadratic twists by: -3 -7 |