Atkin-Lehner |
2- 5+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127280i |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-316039799767040 = -1 · 230 · 5 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100963,12377442] |
[a1,a2,a3,a4,a6] |
j |
-27787565801421369/77158154240 |
j-invariant |
L |
1.0907419790026 |
L(r)(E,1)/r! |
Ω |
0.54537026028376 |
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 |
15910c1 |
Quadratic twists by: -4 |