Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134g |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
-4.888284706783E+24 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,42217705,12947340573] |
[a1,a2,a3,a4,a6] |
Generators |
[148480108290:36612949556863:2460375] |
Generators of the group modulo torsion |
j |
206217353444786240913/121136252003024896 |
j-invariant |
L |
5.3892814918189 |
L(r)(E,1)/r! |
Ω |
0.046695748485457 |
Real period |
R |
14.426585039018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57134h1 |
Quadratic twists by: -7 |