Atkin-Lehner |
2+ 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
26904b |
Isogeny class |
Conductor |
26904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
5299872768 = 210 · 35 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1725216,-871619652] |
[a1,a2,a3,a4,a6] |
Generators |
[1532826580724046109346773648160:34477870195378888326796075991711:868670549975913026277376000] |
Generators of the group modulo torsion |
j |
554567531165175537796/5175657 |
j-invariant |
L |
6.2853547315628 |
L(r)(E,1)/r! |
Ω |
0.13173120496356 |
Real period |
R |
47.713483933451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53808g1 80712l1 |
Quadratic twists by: -4 -3 |