Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cm |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
784 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
3.884741296128E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4960463,-4242200583] |
[a1,a2,a3,a4,a6] |
Generators |
[-1274:3805:1] |
Generators of the group modulo torsion |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
8.2719237300288 |
L(r)(E,1)/r! |
Ω |
0.10117987260209 |
Real period |
R |
0.41711549357371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400dn1 34650bc1 2310b1 80850et1 |
Quadratic twists by: -4 -3 5 -7 |