Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410co |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
389158000000 = 27 · 56 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8240,282897] |
[a1,a2,a3,a4,a6] |
Generators |
[7:471:1] |
Generators of the group modulo torsion |
j |
1262735997428689/7942000000 |
j-invariant |
L |
8.3993128372574 |
L(r)(E,1)/r! |
Ω |
0.95513827900489 |
Real period |
R |
0.10468831751561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410bf1 |
Quadratic twists by: -7 |