Atkin-Lehner |
2- 5- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60520l |
Isogeny class |
Conductor |
60520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
121040 = 24 · 5 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- -4 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2522,48749] |
[a1,a2,a3,a4,a6] |
Generators |
[975:1864:27] |
Generators of the group modulo torsion |
j |
110876364158976/7565 |
j-invariant |
L |
6.0478310107386 |
L(r)(E,1)/r! |
Ω |
2.5098657614491 |
Real period |
R |
4.8192465939664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121040l1 |
Quadratic twists by: -4 |