Atkin-Lehner |
2+ 3+ 5- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830m |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
2502528 |
Modular degree for the optimal curve |
Δ |
1101138248480625000 = 23 · 33 · 57 · 197 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -6 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-508854,130399660] |
[a1,a2,a3,a4,a6] |
Generators |
[-591:15277:1] [131:-8188:1] |
Generators of the group modulo torsion |
j |
539684576124701787963/40782898091875000 |
j-invariant |
L |
9.1431794257437 |
L(r)(E,1)/r! |
Ω |
0.26959716508796 |
Real period |
R |
0.34606353976252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830bp1 |
Quadratic twists by: -3 |