Atkin-Lehner |
2- 3- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26070bd |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
40000 |
Modular degree for the optimal curve |
Δ |
-675734400000 = -1 · 210 · 35 · 55 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5245,151025] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:455:1] |
Generators of the group modulo torsion |
j |
-15957518801824081/675734400000 |
j-invariant |
L |
10.298031018121 |
L(r)(E,1)/r! |
Ω |
0.89958751694622 |
Real period |
R |
1.1447503243574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
78210i1 |
Quadratic twists by: -3 |