Atkin-Lehner |
2+ 3+ 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630g |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
415671905157120 = 222 · 39 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21264,-674560] |
[a1,a2,a3,a4,a6] |
Generators |
[1835361:91003303:729] |
Generators of the group modulo torsion |
j |
54023012580627/21118320640 |
j-invariant |
L |
5.0097583775548 |
L(r)(E,1)/r! |
Ω |
0.40876890495769 |
Real period |
R |
12.255722779225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630bo1 |
Quadratic twists by: -3 |