Atkin-Lehner |
3+ 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71175g |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
98638541015625 = 36 · 59 · 13 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21638,-1137094] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:127:1] |
Generators of the group modulo torsion |
j |
573649047629/50502933 |
j-invariant |
L |
2.3066643026211 |
L(r)(E,1)/r! |
Ω |
0.39584848418056 |
Real period |
R |
2.9135697058196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71175r1 |
Quadratic twists by: 5 |