Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810n |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
521550597980160 = 221 · 39 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70003,7014637] |
[a1,a2,a3,a4,a6] |
Generators |
[-2274:17231:8] |
Generators of the group modulo torsion |
j |
105093573726037969/1444738498560 |
j-invariant |
L |
3.9120255209719 |
L(r)(E,1)/r! |
Ω |
0.52289225667449 |
Real period |
R |
7.4815135836548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810db1 |
Quadratic twists by: -19 |