Atkin-Lehner |
2+ 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650o |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
-32047430034375000 = -1 · 23 · 39 · 58 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73617,11563541] |
[a1,a2,a3,a4,a6] |
j |
-5738654115/4168136 |
j-invariant |
L |
3.4045033607776 |
L(r)(E,1)/r! |
Ω |
0.34045033956876 |
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 |
97650cv1 97650cm1 |
Quadratic twists by: -3 5 |