Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bh |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-25217217146880000 = -1 · 215 · 39 · 54 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4760216,-3995917584] |
[a1,a2,a3,a4,a6] |
Generators |
[1446941652627816566:217244627121638910350:63573749815031] |
Generators of the group modulo torsion |
j |
-2912351799169324199449/6156547155000 |
j-invariant |
L |
5.9226215538173 |
L(r)(E,1)/r! |
Ω |
0.051104933957485 |
Real period |
R |
28.972846138224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510g1 |
Quadratic twists by: -4 |