Atkin-Lehner |
2+ 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35224a |
Isogeny class |
Conductor |
35224 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-46007616256 = -1 · 28 · 75 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -1 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,10339] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:14:1] [35:238:1] |
Generators of the group modulo torsion |
j |
106314752/179717251 |
j-invariant |
L |
5.3514884761305 |
L(r)(E,1)/r! |
Ω |
0.88931542844371 |
Real period |
R |
0.15043842446023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70448d1 |
Quadratic twists by: -4 |