Atkin-Lehner |
3+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78351d |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
126184063061511 = 35 · 78 · 133 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- -3 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17494,-715156] |
[a1,a2,a3,a4,a6] |
j |
5032738790353/1072546839 |
j-invariant |
L |
0.84277473987654 |
L(r)(E,1)/r! |
Ω |
0.42138736782735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11193g1 |
Quadratic twists by: -7 |