Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800bq |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-2.251243125E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7401675,-7784284250] |
[a1,a2,a3,a4,a6] |
Generators |
[480060341586179649507665590:70740679229698298268393797400:21755882135240639802863] |
Generators of the group modulo torsion |
j |
-1922366726113538/9650390625 |
j-invariant |
L |
7.6225883878332 |
L(r)(E,1)/r! |
Ω |
0.045751639212017 |
Real period |
R |
41.651996076629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600k1 21960l1 |
Quadratic twists by: -3 5 |