Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650dk |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-131411419453125000 = -1 · 23 · 36 · 510 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121055,-23781553] |
[a1,a2,a3,a4,a6] |
j |
-27557573425/18458888 |
j-invariant |
L |
1.4911127634824 |
L(r)(E,1)/r! |
Ω |
0.12425940805982 |
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 |
10850f1 97650cf1 |
Quadratic twists by: -3 5 |