Atkin-Lehner |
2- 3+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450bo |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4458240 |
Modular degree for the optimal curve |
Δ |
-6.80365057878E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31612,396859781] |
[a1,a2,a3,a4,a6] |
Generators |
[-501:16237:1] |
Generators of the group modulo torsion |
j |
8943731208095/174173454816768 |
j-invariant |
L |
9.1541183425003 |
L(r)(E,1)/r! |
Ω |
0.15424362233358 |
Real period |
R |
1.6485677642267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450y1 |
Quadratic twists by: 5 |