Atkin-Lehner |
2+ 3- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270j |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-80792552671875000 = -1 · 23 · 36 · 59 · 113 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22455,13742325] |
[a1,a2,a3,a4,a6] |
Generators |
[7051:588395:1] |
Generators of the group modulo torsion |
j |
-1717695749908081/110826546875000 |
j-invariant |
L |
3.8113668454994 |
L(r)(E,1)/r! |
Ω |
0.28293112082402 |
Real period |
R |
6.7355030339672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030j1 |
Quadratic twists by: -3 |