Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800cc |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10699776 |
Modular degree for the optimal curve |
Δ |
-8.7541274434746E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57669488,-168644264492] |
[a1,a2,a3,a4,a6] |
Generators |
[199115127877340142516497690539826010:35689179840429167168190452684872871936:5861598230462202519138383409125] |
Generators of the group modulo torsion |
j |
-207139083365807493797785/85489525815181312 |
j-invariant |
L |
5.8757169193418 |
L(r)(E,1)/r! |
Ω |
0.027391907906313 |
Real period |
R |
53.626393417338 |
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 |
9350u1 74800do1 |
Quadratic twists by: -4 5 |