Atkin-Lehner |
5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7315g |
Isogeny class |
Conductor |
7315 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
16817185 = 5 · 7 · 113 · 192 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11- 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-964,11763] |
[a1,a2,a3,a4,a6] |
Generators |
[34:115:1] |
Generators of the group modulo torsion |
j |
99130706806041/16817185 |
j-invariant |
L |
5.2466902905744 |
L(r)(E,1)/r! |
Ω |
2.1257576705454 |
Real period |
R |
1.6454338025049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040bu1 65835s1 36575f1 51205j1 |
Quadratic twists by: -4 -3 5 -7 |