Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682i |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62539776 |
Modular degree for the optimal curve |
Δ |
-2.6157353288723E+23 |
Discriminant |
Eigenvalues |
2+ 3 -4 1 4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207900874,-1154015837116] |
[a1,a2,a3,a4,a6] |
Generators |
[33325639406272795927766675551289367816737335248073384133328:8203105869571665762420364725517301202684729894278236965254086:517908036004518626615783756678012814103203964595874147] |
Generators of the group modulo torsion |
j |
-298652123601/78608 |
j-invariant |
L |
7.1661899414687 |
L(r)(E,1)/r! |
Ω |
0.019879187165078 |
Real period |
R |
90.121767579836 |
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 |
97682q1 5746f1 |
Quadratic twists by: 13 17 |