Atkin-Lehner |
3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102459o |
Isogeny class |
Conductor |
102459 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-411687054724323 = -1 · 3 · 710 · 172 · 412 |
Discriminant |
Eigenvalues |
0 3- -2 7- 2 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1601,-975362] |
[a1,a2,a3,a4,a6] |
Generators |
[3126:23761:27] |
Generators of the group modulo torsion |
j |
1605632/1457427 |
j-invariant |
L |
5.9669922785153 |
L(r)(E,1)/r! |
Ω |
0.24790926961256 |
Real period |
R |
6.0173146153257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102459b1 |
Quadratic twists by: -7 |