Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
117978a |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181336320 |
Modular degree for the optimal curve |
Δ |
-6.3396410311752E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -1 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6078440102,186381560624532] |
[a1,a2,a3,a4,a6] |
j |
-398926769189077614601/10182577184833536 |
j-invariant |
L |
0.057574346724245 |
L(r)(E,1)/r! |
Ω |
0.028787191916197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117978u1 |
Quadratic twists by: 53 |