Atkin-Lehner |
2- 3- 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354bu |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
33696000 |
Modular degree for the optimal curve |
Δ |
-6.1155411550665E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -7 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8795390,-119401090419] |
[a1,a2,a3,a4,a6] |
Generators |
[9347:-788853:1] |
Generators of the group modulo torsion |
j |
-103219426529054791593625/8388945343026728460288 |
j-invariant |
L |
9.532573194042 |
L(r)(E,1)/r! |
Ω |
0.033338017565565 |
Real period |
R |
0.7331718300482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41118a1 |
Quadratic twists by: -3 |