Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bv |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8472320496864000000 = -1 · 211 · 38 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254163,-148473038] |
[a1,a2,a3,a4,a6] |
Generators |
[1029:26068:1] |
Generators of the group modulo torsion |
j |
-30138446/140625 |
j-invariant |
L |
4.8102444434916 |
L(r)(E,1)/r! |
Ω |
0.096304965361163 |
Real period |
R |
3.1217526177466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640x2 11760bj2 35280cu2 |
Quadratic twists by: -4 -3 -7 |