Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270r |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2345250754822500 = -1 · 22 · 34 · 54 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31604,880529] |
[a1,a2,a3,a4,a6] |
Generators |
[29:1335:1] |
Generators of the group modulo torsion |
j |
29672953264079/19934302500 |
j-invariant |
L |
5.264659113478 |
L(r)(E,1)/r! |
Ω |
0.28918166237898 |
Real period |
R |
2.2756712294604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610t4 |
Quadratic twists by: -7 |