Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72520f |
Isogeny class |
Conductor |
72520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
10882532500000000 = 28 · 510 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81601,7464101] |
[a1,a2,a3,a4,a6] |
Generators |
[401:-6250:1] |
Generators of the group modulo torsion |
j |
1995203838976/361328125 |
j-invariant |
L |
3.7262499433666 |
L(r)(E,1)/r! |
Ω |
0.38520111635266 |
Real period |
R |
1.2091897538194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1480b1 |
Quadratic twists by: -7 |