Atkin-Lehner |
2+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770h |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-206206931770000 = -1 · 24 · 54 · 710 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -1 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3552,-684592] |
[a1,a2,a3,a4,a6] |
Generators |
[308:5300:1] |
Generators of the group modulo torsion |
j |
17537639/730000 |
j-invariant |
L |
5.6358135152355 |
L(r)(E,1)/r! |
Ω |
0.27039487307636 |
Real period |
R |
5.2107251989613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35770k1 |
Quadratic twists by: -7 |