Atkin-Lehner |
2+ 3- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662n |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
267840 |
Modular degree for the optimal curve |
Δ |
-104899458751266816 = -1 · 231 · 35 · 7 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,116787,2624584] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:222:1] |
Generators of the group modulo torsion |
j |
176162135072147897399/104899458751266816 |
j-invariant |
L |
5.3156341612034 |
L(r)(E,1)/r! |
Ω |
0.20464991201409 |
Real period |
R |
2.5974280217807 |
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 |
76986bb1 |
Quadratic twists by: -3 |