Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080h |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
2747549970000 = 24 · 312 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107951,-13615590] |
[a1,a2,a3,a4,a6] |
Generators |
[25643071630:30548278440:67419143] |
Generators of the group modulo torsion |
j |
8695363898378205184/171721873125 |
j-invariant |
L |
3.9684198337867 |
L(r)(E,1)/r! |
Ω |
0.26338623034377 |
Real period |
R |
15.066921928821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040f1 |
Quadratic twists by: -4 |