Atkin-Lehner |
2+ 3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270c |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
8173440 |
Modular degree for the optimal curve |
Δ |
-7.94324086875E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10135869,18391131333] |
[a1,a2,a3,a4,a6] |
Generators |
[-1953:176289:1] |
Generators of the group modulo torsion |
j |
-4265234749594880923973643/2941941062500000000000 |
j-invariant |
L |
4.079029697903 |
L(r)(E,1)/r! |
Ω |
0.099988670489108 |
Real period |
R |
2.039745941651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002644 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72270s2 |
Quadratic twists by: -3 |