Atkin-Lehner |
2- 3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37884g |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-613920474315042048 = -1 · 28 · 32 · 79 · 115 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200060,-15392024] |
[a1,a2,a3,a4,a6] |
Generators |
[178:-5082:1] [94:2058:1] |
Generators of the group modulo torsion |
j |
3459094042872565424/2398126852793133 |
j-invariant |
L |
6.2957210492298 |
L(r)(E,1)/r! |
Ω |
0.16349829103877 |
Real period |
R |
0.14261608007872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652u1 |
Quadratic twists by: -3 |