Atkin-Lehner |
2+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37840g |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-76232524544000 = -1 · 211 · 53 · 115 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11- -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,440,-420208] |
[a1,a2,a3,a4,a6] |
Generators |
[184:-2420:1] [104:860:1] |
Generators of the group modulo torsion |
j |
4589489518/37222912375 |
j-invariant |
L |
7.2546951449239 |
L(r)(E,1)/r! |
Ω |
0.28289127468425 |
Real period |
R |
0.21370681348104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18920b1 |
Quadratic twists by: -4 |