Atkin-Lehner |
5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26825a |
Isogeny class |
Conductor |
26825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
189923095703125 = 514 · 292 · 37 |
Discriminant |
Eigenvalues |
-2 1 5+ -3 5 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18158,-674906] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:362:1] |
Generators of the group modulo torsion |
j |
42377139564544/12155078125 |
j-invariant |
L |
2.4879059269283 |
L(r)(E,1)/r! |
Ω |
0.42026346347007 |
Real period |
R |
1.4799680100584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5365a1 |
Quadratic twists by: 5 |