Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184cc |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19514880 |
Modular degree for the optimal curve |
Δ |
-3.6577864548579E+23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77641352,264951112944] |
[a1,a2,a3,a4,a6] |
Generators |
[1153220:72220672:125] |
Generators of the group modulo torsion |
j |
-12636972422351146006413193/89301427120553066496 |
j-invariant |
L |
4.2994278153993 |
L(r)(E,1)/r! |
Ω |
0.096004986705773 |
Real period |
R |
3.7319483360256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13398k1 |
Quadratic twists by: -4 |