Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530g |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1572775650000 = 24 · 33 · 55 · 23 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3912,70704] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:396:1] |
Generators of the group modulo torsion |
j |
6623593959083401/1572775650000 |
j-invariant |
L |
3.8842145051373 |
L(r)(E,1)/r! |
Ω |
0.79489124011224 |
Real period |
R |
0.1628824300789 |
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 |
76590bz1 127650df1 |
Quadratic twists by: -3 5 |