Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635i |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
312480 |
Modular degree for the optimal curve |
Δ |
-46417053515805 = -1 · 36 · 5 · 78 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-327699] |
[a1,a2,a3,a4,a6] |
Generators |
[797913140:7622547577:6331625] |
Generators of the group modulo torsion |
j |
-2401/11045 |
j-invariant |
L |
7.9204553417954 |
L(r)(E,1)/r! |
Ω |
0.28964249482845 |
Real period |
R |
13.672813049438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999695354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515f1 103635bg1 |
Quadratic twists by: -3 -7 |