Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1480b |
Isogeny class |
Conductor |
1480 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
92500000000 = 28 · 510 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -3 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1665,-22237] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:50:1] |
Generators of the group modulo torsion |
j |
1995203838976/361328125 |
j-invariant |
L |
3.1374121856955 |
L(r)(E,1)/r! |
Ω |
0.75666238706103 |
Real period |
R |
0.10365957920419 |
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 |
2960b1 11840b1 13320l1 7400e1 |
Quadratic twists by: -4 8 -3 5 |