Atkin-Lehner |
3+ 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26307a |
Isogeny class |
Conductor |
26307 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
273024 |
Modular degree for the optimal curve |
Δ |
-18187770380086557 = -1 · 39 · 374 · 793 |
Discriminant |
Eigenvalues |
1 3+ 4 -1 -5 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-95325,-13031002] |
[a1,a2,a3,a4,a6] |
Generators |
[123238283690:-3919743488512:114084125] |
Generators of the group modulo torsion |
j |
-4866933633970563/924034465279 |
j-invariant |
L |
7.665307433088 |
L(r)(E,1)/r! |
Ω |
0.13447023821759 |
Real period |
R |
14.250936740151 |
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 |
26307b1 |
Quadratic twists by: -3 |