Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702m |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
344736 |
Modular degree for the optimal curve |
Δ |
-1211675321597104 = -1 · 24 · 73 · 13 · 198 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26722,2370852] |
[a1,a2,a3,a4,a6] |
Generators |
[225:2673:1] |
Generators of the group modulo torsion |
j |
-124244857/71344 |
j-invariant |
L |
4.4274570260382 |
L(r)(E,1)/r! |
Ω |
0.45079275697709 |
Real period |
R |
4.9107455225549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65702y1 |
Quadratic twists by: -19 |