Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240ca |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
179213619009945600 = 226 · 313 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-470307,122460194] |
[a1,a2,a3,a4,a6] |
Generators |
[335:1582:1] |
Generators of the group modulo torsion |
j |
3852836363704609/60018278400 |
j-invariant |
L |
6.5312421760957 |
L(r)(E,1)/r! |
Ω |
0.32115116297646 |
Real period |
R |
5.0842429742173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030i1 16080p1 |
Quadratic twists by: -4 -3 |