Atkin-Lehner |
3+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351h |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-51356965023 = -1 · 32 · 77 · 132 · 41 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-344,-11320] |
[a1,a2,a3,a4,a6] |
j |
-38272753/436527 |
j-invariant |
L |
0.95746626701493 |
L(r)(E,1)/r! |
Ω |
0.4787331512048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11193e1 |
Quadratic twists by: -7 |