Atkin-Lehner |
2+ 3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270f |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1189249829015212800 = 28 · 39 · 52 · 116 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-976254,367790228] |
[a1,a2,a3,a4,a6] |
Generators |
[124:15706:1] |
Generators of the group modulo torsion |
j |
5227826295027098547/60420150841600 |
j-invariant |
L |
3.3127501540694 |
L(r)(E,1)/r! |
Ω |
0.27478457859859 |
Real period |
R |
1.5069760151698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270v2 |
Quadratic twists by: -3 |