Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37180i |
Isogeny class |
Conductor |
37180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3732783779296000 = -1 · 28 · 53 · 11 · 139 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301045,63543975] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:10985:1] [-142:10171:1] |
Generators of the group modulo torsion |
j |
-2441851961344/3020875 |
j-invariant |
L |
6.549700220315 |
L(r)(E,1)/r! |
Ω |
0.44124992640308 |
Real period |
R |
1.2369596435791 |
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 |
2860a1 |
Quadratic twists by: 13 |