Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415c |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-20635029094815 = -1 · 35 · 5 · 198 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -6 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6852,13707] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1231:1] [1442:54151:1] |
Generators of the group modulo torsion |
j |
756058031/438615 |
j-invariant |
L |
4.7343683912427 |
L(r)(E,1)/r! |
Ω |
0.41017901837717 |
Real period |
R |
11.542200305553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640dk1 16245l1 27075r1 285a1 |
Quadratic twists by: -4 -3 5 -19 |