Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550im |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
4.8872863196843E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4372418,-3356325169] |
[a1,a2,a3,a4,a6] |
Generators |
[-1051:9443:1] |
Generators of the group modulo torsion |
j |
628623316769266853/33232998629376 |
j-invariant |
L |
8.9141101510461 |
L(r)(E,1)/r! |
Ω |
0.10474788807542 |
Real period |
R |
1.1819530461589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550fk1 13650dg1 |
Quadratic twists by: 5 -7 |