Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425be |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-129406994921875 = -1 · 58 · 117 · 17 |
Discriminant |
Eigenvalues |
-1 -2 5- 3 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13379638,18836011767] |
[a1,a2,a3,a4,a6] |
Generators |
[2111:-1116:1] |
Generators of the group modulo torsion |
j |
-382772438090905/187 |
j-invariant |
L |
2.4655186218527 |
L(r)(E,1)/r! |
Ω |
0.35614029127739 |
Real period |
R |
1.1538143264494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425r1 4675p1 |
Quadratic twists by: 5 -11 |