Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700q |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
101981250000 = 24 · 32 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7533,248688] |
[a1,a2,a3,a4,a6] |
Generators |
[44:66:1] |
Generators of the group modulo torsion |
j |
189123395584/407925 |
j-invariant |
L |
7.2065303458701 |
L(r)(E,1)/r! |
Ω |
1.0640954289267 |
Real period |
R |
3.3862237116739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540e1 |
Quadratic twists by: 5 |