Atkin-Lehner |
2- 3+ 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010m |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
900480 |
Modular degree for the optimal curve |
Δ |
-34748903577600000 = -1 · 214 · 39 · 55 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38662,8468281] |
[a1,a2,a3,a4,a6] |
j |
324710176788837/1765427200000 |
j-invariant |
L |
3.7098566411093 |
L(r)(E,1)/r! |
Ω |
0.26498976300906 |
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 |
107010c1 |
Quadratic twists by: -3 |