Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210bj |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-1.0538961532349E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,762194,-4932242197] |
[a1,a2,a3,a4,a6] |
Generators |
[21511211:-1164975987:6859] |
Generators of the group modulo torsion |
j |
416228691255315119/89579694960000000 |
j-invariant |
L |
7.7138201428183 |
L(r)(E,1)/r! |
Ω |
0.060438769891494 |
Real period |
R |
6.3815164974543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030bb1 |
Quadratic twists by: -7 |