Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300o |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1038524361311250000 = 24 · 310 · 57 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2491633,1512195488] |
[a1,a2,a3,a4,a6] |
Generators |
[323:27225:1] |
Generators of the group modulo torsion |
j |
6842835507802095616/4154097445245 |
j-invariant |
L |
9.7525828725429 |
L(r)(E,1)/r! |
Ω |
0.27376663600331 |
Real period |
R |
0.29686423795754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460c1 |
Quadratic twists by: 5 |