Atkin-Lehner |
2- 3+ 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970bh |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-154285002227899080 = -1 · 23 · 39 · 5 · 31 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133837,-1439909] |
[a1,a2,a3,a4,a6] |
Generators |
[301:7976:1] |
Generators of the group modulo torsion |
j |
13469889760845237/7838490180760 |
j-invariant |
L |
7.4793007666135 |
L(r)(E,1)/r! |
Ω |
0.19189150909814 |
Real period |
R |
1.0826865367562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000232918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970i2 |
Quadratic twists by: -3 |