Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545bi |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
310 |
Product of Tamagawa factors cp |
deg |
4519800000 |
Modular degree for the optimal curve |
Δ |
-2.3263735460448E+34 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -4 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12178687868595,16358700429916134599] |
[a1,a2,a3,a4,a6] |
j |
-4246230898683241696460167381830762496/494490377604961395263671875 |
j-invariant |
L |
2.8841284048159 |
L(r)(E,1)/r! |
Ω |
0.009303634944735 |
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 |
6555e1 |
Quadratic twists by: -19 |