Atkin-Lehner |
3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3075l |
Isogeny class |
Conductor |
3075 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-14707629675 = -1 · 315 · 52 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -3 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16198,788134] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1021:1] |
Generators of the group modulo torsion |
j |
-18801595227320320/588305187 |
j-invariant |
L |
1.9755554135567 |
L(r)(E,1)/r! |
Ω |
1.163843670682 |
Real period |
R |
2.8290675447833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
49200bv1 9225s1 3075g2 126075k1 |
Quadratic twists by: -4 -3 5 41 |