Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2960b |
Isogeny class |
Conductor |
2960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1920 |
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 |
[4:125:1] |
Generators of the group modulo torsion |
j |
1995203838976/361328125 |
j-invariant |
L |
3.0609239728764 |
L(r)(E,1)/r! |
Ω |
1.0191463586136 |
Real period |
R |
0.30034194274514 |
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 |
1480b1 11840w1 26640i1 14800a1 |
Quadratic twists by: -4 8 -3 5 |