Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978s |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-1026042341184 = -1 · 26 · 33 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26507738,-52523337895] |
[a1,a2,a3,a4,a6] |
j |
-76291813922458084261302627/38001568192 |
j-invariant |
L |
3.1937257948022 |
L(r)(E,1)/r! |
Ω |
0.033267977029189 |
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 |
103824x1 12978b1 90846ck1 |
Quadratic twists by: -4 -3 -7 |