Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270bh |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1618477977600 = 212 · 39 · 52 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101822,12531021] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:4779:1] |
Generators of the group modulo torsion |
j |
160146353714346649/2220134400 |
j-invariant |
L |
11.426733809283 |
L(r)(E,1)/r! |
Ω |
0.76965315820626 |
Real period |
R |
2.4744335998877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997651 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24090b1 |
Quadratic twists by: -3 |