Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3075a |
Isogeny class |
Conductor |
3075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
-443232421875 = -1 · 33 · 510 · 412 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-87083,9920318] |
[a1,a2,a3,a4,a6] |
Generators |
[168:61:1] |
Generators of the group modulo torsion |
j |
-7478746316800/45387 |
j-invariant |
L |
2.4431211616045 |
L(r)(E,1)/r! |
Ω |
0.83687273633517 |
Real period |
R |
1.4596730515463 |
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 |
49200ct1 9225u1 3075m1 126075s1 |
Quadratic twists by: -4 -3 5 41 |