Atkin-Lehner |
2+ 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040c |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-17867520000 = -1 · 211 · 33 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1240,-17588] |
[a1,a2,a3,a4,a6] |
j |
-103040748722/8724375 |
j-invariant |
L |
1.6012096931954 |
L(r)(E,1)/r! |
Ω |
0.40030242277456 |
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 |
124080u1 |
Quadratic twists by: -4 |