Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195d |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7240518878355 = -1 · 35 · 5 · 76 · 373 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9643461,11529716456] |
[a1,a2,a3,a4,a6] |
Generators |
[1706:6345:1] |
Generators of the group modulo torsion |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
2.7601159391944 |
L(r)(E,1)/r! |
Ω |
0.41244102984598 |
Real period |
R |
1.1153578085353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81585z2 555b2 |
Quadratic twists by: -3 -7 |