Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025ba |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
1032908994140625 = 38 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-681980,216938022] |
[a1,a2,a3,a4,a6] |
Generators |
[-646:20010:1] [-3458:167775:8] |
Generators of the group modulo torsion |
j |
3079572809565169/90680625 |
j-invariant |
L |
6.6814395913093 |
L(r)(E,1)/r! |
Ω |
0.45850491520208 |
Real period |
R |
2.4287051856848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24675c1 14805i1 |
Quadratic twists by: -3 5 |