Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425bf |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552000 |
Modular degree for the optimal curve |
Δ |
-7.2879333296659E+23 |
Discriminant |
Eigenvalues |
-1 3 5- 3 11- 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84895680,-303843762428] |
[a1,a2,a3,a4,a6] |
Generators |
[245284214667427983521942960197172430948695130756625224:15364992141212475873857592556805279759949365683523072233:19434065967334494161900242617695759536422598642323] |
Generators of the group modulo torsion |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
7.7800608161495 |
L(r)(E,1)/r! |
Ω |
0.024852461468474 |
Real period |
R |
78.262477401068 |
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 |
51425t1 4675q1 |
Quadratic twists by: 5 -11 |